Codes p700 and 2534?

Hello, pink wire pin 31 is only powered when the IGN Main PCB Relay is powered up, so it wouldn't show continuity with the key off. I'll post the diagrams for you. It's powered up by the TRANS Fuse 10amp. In the under-hood fuse block.
The Body Control module is in charge of activating that relay. Check the fuse first.
If you pull the IGN MAIN PCB Relay, and Key On engine off, the relay location pins should have 2 powered up pins (12v) and one ground and the other goes to power up the Trans Control Module.
It looks like the code setting criteria is the TCM is detecting a short to ground.

https://www.2carpros.com/articles/how-to-check-an-electrical-relay-and-wiring-control-circuit

https://www.2carpros.com/articles/how-to-check-a-car-fuse

They don't make anything easy anymore. Can you find me a build date for your vehicle? It should be on a tag on the driver's door frame, it will have a month and year such 08/2007 or 08/07 for example. It might be on the underside of the hood tag as well. There might be a slight difference somewhere here. Even the OEM diagrams call it IGN MAIN PCB Relay, underhood fuse panel, passenger side strut tower. And is there 12volts at the Trans Fuse? No corrosion in the pins it fits into?
Also, you mentioned the TCM was spliced in? Was it recently replaced, and why was it spliced in?

Okay, I figured it out. Those relays are built into the fuse panel and are not serviceable.
The 3rd diagram is the same fuse panel you're showing me, I'll show you the list of relays built into that fuse box. (4th diagram) that's why we can't find it, but it's in there.

So, with the key On, if you have power at the TRANS Fuse and the ECM IGN fuse, the relay is working.

Did you read what I posted before your last message? That relay is built into the fuse panel, along with a bunch of other relays, they are not removable. If you have power at the TRANS Fuse and the ECM IGN fuse, the relay is working. I don't need the build date. I found the information on the fuse panel. The Relays listed in the second diagram are the ones that are built into the circuit board inside the under-hood fuse panel.
The p700 code, is that P0700?
And why are you splicing in another TCM? The TCM is a separate module with its own harness connectors. I'm not sure I understand why you would do that. After TCM is replaced, it needs to be programmed to the vehicle. And 212 degrees is not over the limit on newer vehicles for coolant temperature.
And if that TRANS Fuse has power, there is a problem farther down the line towards the TCM. I would check power directly at the TCM.

The P0700 code is just the TCM telling the Engine Computer (ECM) that there is a code stored in memory of the TCM. So, if you were to scan only the ECM, like what AutoZone does for most people, it would indicate that there is a code stored in the TCM and its the problem with the vehicle, it's a cause, not effect.
You don't have to have the TCM plugged in to check for power on this circuit. Since it comes directly from the fuse box with the Key On. All you need to do with a multimeter is have one lead on the battery negative and the other lead touch the pin on the TCM connector.
It looks like this Trans Control Module only has one plug. And there is only one pink wire in the entire plug, With the key on very easily touch the red multimeter lead to that pin and it should read 12volts. If it doesn't, there is a wiring problem between that TCM connector and the fuse panel.
This is a very check to do. If there is no power. You'll have to trace that pink wire back until you find a break in the wire, or a corroded connector is going through on its way to that fuse panel. No need to replace the TCM harness plug. If there is power there, turn the key off, and verify that the pins on the connector were not spread apart too far and just not making contact. That happens a lot, some people jam a test lead into a connector pin and spread the pins and then it never makes contact again. and they think something else has failed. It's called Pin Fitment.
After you find the power issue, put the old TCM back in, because it's programmed to your VIN, and you will have to program a new one for it to work at all.

One of the things to be aware of, if you do not have 12 volts at the TCM pink wire. The only connector I see on that circuit is the connector at the Fuse Panel (under-hood). So, you can check that connector with the key off for any issues, but also that pink wire branches off from that same spot and goes to the actual Transmission itself. It powers up the shift solenoids and the torque converter lock up solenoid, this sounds complicated but it's not.
If power is missing at the TCM connector and you don't find an issue at the fuse panel connector, with the key off, try unplugging the connector at the Transmission that has that same pink wire in it. and retest at the TCM connector. If you are unsure of how to test the connector with a multimeter let me know and I'll make you a small diagram of how to do it. It should be a quick test.
You could use a test light but that will not verify a full 12 volts.

https://www.2carpros.com/articles/how-to-use-a-voltmeter

You are checking for battery voltage (12v), so set your meter to 20Volts DC. That will give you readings from 0 to 20 volts, which is the range you want to be in. Connect the black lead of the meter to battery negative and just lightly touch the pins of the transmission connector. Don't shove the meter leads into the connector pins, they will spread and never make contact again. This is something to keep in mind, because a lot of people don't pay attention to it. Even over time pins can get spread and cause all kinds of issues.
So, with the transmission connector unplugged, just turn the key to on position, engine off and check that pink wire for 12volts. If it is reading 12 volts, then take a real good look at the pin in the connector for that wire, we usually do what is called a "pin drag test", using a pin that is the same exact size as the pin on the TCM, and see if the female pin is loose. There should be some drag when trying a pin in the connector. Do this with the key off.
If there is some drag that means the 2 pins are making good contact when the TCM is plugged in. Also check the connector for any white or green crusty corrosion.
From the OEM diagrams it looks like the only other connection from the fuse box, is at the fuse box itself, so check that pink wire and we'll go from there. I think it's the only pink wire on that connector, I'll take another look at the diagrams and if there is any others Ill post it below. But we will make a plan for what to do next once you see what reading you get at the TCM connector.
of course, if you have any more questions about the testing, just ask. It's best to use battery negative for your ground connection so we know the connection is good all the way back to the battery.

One other thing, looking back at your original post, you checked for continuity from the TCM connector pin 31 (pink wire) to the transmission connector pin E (also pink wire) and had no continuity, Is that correct? If so, I'm going to post the Under-hood Fuse Panel instructions, because that pink wire splices off at the Fuse Panel connector X1 and runs to the TCM and then to the Transmission, if that Fuse Panel connector has corrosion underneath that could be the whole problem. The main Connectors are on the bottom of the fuse panel, so you will have to unbolt it to get to the connectors on the bottom. Fuse panels with main connections on the bottom always seem to corrode first, they get the most moisture spraying up from the road and they can cause massive problems, Check X1, all the diagrams are below. Just make sure the key is Off before unplugging the connector.

https://www.2carpros.com/articles/how-to-use-a-voltmeter

Look back up, I added a check on the fuse panel to do first.
Are you getting misfire codes as well. Sorry I missed some of the first post, I was looking for wiring diagrams at the same time. Did you already splice in a new TCM connector?

Don't worry about the pin drag test right now, you didn't have continuity on a circuit that should regardless of key on or not, Check that connector under the fuse box first. That X1 connector has a splice at the fuse box connector (pink wire) and the pink wire runs in 2 different directions. It's possible the connector is bad. Do that check first, you can even do a continuity test from the X1 J2 pin at the fuse box, going from J2 to the TCM and J2 to the transmission. And we will be able to tell on what leg of the circuit the problem exists. Or if its right at J2.
Sorry I should have looked back at the original post for the testing you already did, but unplug the TCM and the transmission connector before doing your continuity test.

Yes, battery negative and do the voltage test checking the TCM pin and the Transmission pin E, both testing with the black lead on the battery negative. You can even just check it right from the TRANS Fuse 10amp with the key On (red meter lead). I added the OEM diagrams as well (3 and 4)

Next Test if 12volts is missing from either the TCM or Transmission on Pink wire.
Key Off.
Unbolt the fuse panel and unplug the X1 connector (diagram 5). With the TCM unplugged and the transmission connector unplugged. Check for continuity (ohms setting) from the J2 pin (diagram 6) to the TCM and then to the Transmission connector E pin. J2 is where the pink wire splits into 2 and one goes to the TCM and the other to the Transmission.