Welcome back. Have you check your grounds at the ECU. If there is more that 70 ohms to ground, the solenoid won't be able to close the relay. I had a splice go bad - no mouse or rubbing as far as I could tell, but it was bad - I probed both sides of it. Maybe one of the ground lines from the ECU has a splice in it (just a guess). Do you have access to a DRBIII code reader? Maybe someone is near you in Florida. If you read the ECU, it might tell you why it's stopping the starting circuit.
-Jerry