The FP relay is single function only. Two wires for the relay field, two for voltage feed in/out to the pump. It’s the only thing the relay controls.
Couple questions for you:
1)Have you checked to see if the PCM is getting power/turning on? Do you have a CEL in the dash with key-on position? You say “no CEL’s lit” but the CEL should be on with key-on until you start the car…possibility that your PCM circuit has no power…
- is your car AWD or FWD?
3)does your car have a factory alarm on it?
Let me know those answers and I can whittle down the wiring for you for better diagnostics