Hello and welcome to just answer Dodge. The thing that concerns me the most is your fuel pump running continuously. It should come on for about 2 seconds and then go off until the PCM sees a cam and crank signal. Now there are 2 things that will cause this : 1, a stuck relay, or a failed PCM. Try swapping the ASD and fuel pump relay with another like the ac clutch relay or horn relay and see if the fuel pump stays on. If it does, then suspect a failed PCM. If it does not, (turns on then goes off, then the relay is stuck and should be replaced. Let me know what you find,
Well, it does sound like a PCM, but do this first if you can, Verify 12 volts (use a test light or voltmeter) at the batt fused and ignition run terminals in the PCM's connectors. If you do have the voltage feeds, then suspect a failed PCM. Here is a connector pin out for you. Check the grounds also.