Will not stay running?

Hello,

It is possible to damage electrical components if you run the vehicle for extended period of time without the battery.
First item you need to check it is the junction box under the hood. Check all the fuses and verify you don't have any burnt ones.
Pay special attention to the PCM1 fuse, this fuse is for the powertrain control module.
There is a change you might have damaged the ECU, but you want to check all the fuses as a good first step.

You might find these articles helpful:

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

https://youtu.be/Hlna_kUt7As

I have attached diagrams for your reference.

Please let me know of any questions.

Thank you