It sounds like the A/T relay might not be working right. Here is the fuel engine wiring diagram so you can see how the system works. The PCM turns the relay on so it must see the engine cranking over or it wont turn the relay on. When you turn the key to the on position without cranking it do you hear the pump prime?
Here is a guide to help you test the wiring:
Here are the engine wiring diagrams.
Check out the diagrams (below).
Please let us know what happens.
Images (Click to enlarge)
Friday, September 11th, 2020 AT 1:11 PM