My car close but it doesn't start and the battery light stays on

How old is the battery? Is it a known good battery. Have you tried jump starting it. Disconnecting the ECM and TCM will not let it start or run, they are needed to operate the vehicle. Some starters have a ground strap also, so did you ensure everything was installed back in place as it was removed when you did the starter?

When does the battery light come on? You say it doesn't start or run so the light should be on as it simply tells you that the alternator is charging while the engine is running, if the engine isn't running it will be on and just means that the light works. Alternator also doesn't matter in a no crank no start. Coils, plugs are the same. If you turn the key and nothing happens those are not the problem, From the description it sounds like there is a bad battery connection to the starter or ground (both very common) or the ignition key signal to the starter is faulty.
So why did you replace the original starter? You came out one day and it did nothing? If you turn the lights on high beam and turn the blower on high with the key on, do they work? What do they do if you turn the key? If the starter is getting power they should dim a bit, I suspect they do nothing. Unfortunately our image posting isn't operational or I would post the wiring diagram showing the wires to test. But there are a few things to test, turn the key and listen to the starter, do you hear it click? Now hold the brake and shift to neutral and try it, any change? If yes then it could be the neutral switch. Nothing? Go to the starter and remove the small wire that went on the solenoid, connect a test light or a volt meter between it and a good ground, turn the key, does the meter show battery voltage or the light come on? If no use the light and check that you have battery power at the starter solenoid large cable, if not the cable is bad. Test the ground cable as well, use a meter between the battery negative terminal and a good ground on the engine block, ideally you shouldn't see any voltage if the connection is good, but up to about point .25 Volt is common. Any higher, clean both connections on the ground cable.

https://www.2carpros.com/articles/starter-not-working-repair
https://www.2carpros.com/articles/everything-goes-dead-when-engine-is-cranked