Car has been having a long start when engine is cold

If by long start you mean you have to turn the key a while and then it starts try this test. Turn the key to on, wait 5 seconds and turn it off, repeat that again, then on the third try, start the engine. Does it now start up as soon as the engine turns over? If yes then the issue is that it is losing fuel pressure while setting. That is commonly the sign of a bar check valve in the fuel pump. However in this case you say it act's sluggish as well, that might show that it isn't the check valve only but the pump module. Try the test and see what happens and report back please. A dirty throttle body wouldn't help the issue and cleaning it isn't all that hard.
https://www.2carpros.com/articles/throttle-actuator-service

Those are a bit tougher to test, usually you can just cycle the button without stepping on the brake. It still sounds like a fuel delivery issue though. Try this, don't step on the brake, just hit the button to run, then wait a few seconds and push it to off. Repeat that again and then see if it starts. What this does is turn the fuel pump on to prime the lines with fuel. If it is leaking off pressure while it sets a while you get a hard start because the pump has to build pressure and push any air out of the system. If the test works the next step would be using a pressure gauge and a scan tool with an injector trigger and see if the issue is the pump or if an injector is staying open and bleeding off the pressure, or if it's just the pump itself.

If you can watch the pressure and trigger the pump you can. You can get an injector tester as a loaner tool in some places. It pulses the injector so you can match the flow rate using the pressure drop.

The low tank causing issues sounds like it has a cracked fuel line in the tank. Fuel gets below the split area and it sucks in air. The alcohol in the fuel seems to make the tubing brittle. The good thing is that you can access the pump from inside the vehicle. You remove the covers on the seat slides and move the second seat fully forward. Then move the carpet to get to the pump opening. Turn the locks and remove the cover. Then you disconnect the lines and power, remove the retainer ring and then the pump. Reverse the process with the new one.

Let us know how it turns out. It might help someone else. Thanks.