The fact that molesting the RCM seemed to make the car start makes me wonder (as josh said) about the connectors and solder on the RCM. It is not PROOF, but it is a possibility.

The Crank Sensor is such a common problem, I'd order one NOW. Get a BOSCH part, not some damn cheapy. The part number is mentioned in a lot of threads here.
I even carry a CPS in the trunk just because they are notorious for failing.

Back to the RCM. If the fuel relay or it's feed fails, the pump fails and the car won't run. If the engine control relay output fails, the car won't crank at all. There are just so many possibilities. REALLY LOOK OVER the joints on the RCM (again, many posts here with pictures about this.)