Is it your understanding that the OP has good power waiting to get the fuel pump at the relay contacts since it works when jumped. No Starter action whatsoever. This is ALL control side problem in the ignition circuit or PCM since he is NOT getting fuel pump relay closure and starter S terminal is not getting 12v likely either. OP seems overwhelmed and cant keep from jumping around which is just further confusing him. If he would just stay on track and do some simple voltage checks this will likely turn out to be 2hrs tops to figure out the cause.
Yes on the fuel pump control missing is my thought; at least that's the view I'm getting.
I'm not really quite sure about the starter issue, which is why I suggested bypassing the starter relay. If the starter cranks when doing that, it's totally a control issue, as you've noted.
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