ok...break the situation down
you basically have three issues that you know about.
possibly caused by the same problem

1.) the car died= something missing from fuel, spark, timing
2.) the car won't crank= power, ground, or signal missing or failed starter
3.)the car will not push start= probably the same as #1

so considering that the three issues all came along at the same time, most likely caiused by the same single problem.

the easiest to diag is the starter issue...the starter doesn't have anything to do with the PCM, the main relay, the fuel pump, the distributor or alot of the things that the running issue could be.

you said that the dash lights come on when you turn the key to the on position...so power is arriving at the ignition switch

the starter has two wires going to it....the power from the battery and the signal wire from the ignition switch
now, the power wire comes straight from the battery (even if you relocated it)
the signal wire comes from the ignition switch.
the fact that the starter clicks means that the signal is getting to the starter.
so the issue is the power to the starter or the ground to the starter.
but there is no ground wire to the starter....right?
the ground path for the starter runs from the body of the car to the engine...hey. the distributor and the pcm are grounded to the motor too....maybe that is where you need to start looking