1985 Plymouth Reliant, spark to coil and plugs will not start, fuel goes to injectors

Not if you have spark. You may have increased resistance in the fuel injector circuit. I have read that liberal use of electrical contact (tv tuner) cleaner on the injector circuit connectors may cure this. You should measure the resistance through the injector terminals. Cold, it should be between .9 and 1.2 ohms. If all tests OK, you may have a bad injector driver in the computer.

yes this is possible ,if the car isn't over heating

Yes, the pick-up coil was a common cause of what you describe.
Drive along and suddenly die, but by the time help arrived it would re-start, and run for a while again, then quit again until it cooled down.

Sounds like vapor lock. This means that fuel is being boiled before it reaches the engine. Check for loose insulation, gas line exposed to exhaust pipe, etc. basically your gas has to remain cool before it gets used by the engine.

Check the ignition timing is correct. I see that you have changed the wires so I suggest that you recheck the firing order for the plugs as it is easy to get it wrong when replacing the leads.

If it is fuel injected most likely clogged fuel injectors and your spark plug problem sounds like a oxygen sensor or exhaust sensor.

DID YOU LOOK AT THE ECM fues an mske sure it was in good shpae if not there are fuesabel link that some time over heat an blow out

Does it have fuel, does it have the correct valve timing?

if the timing belt is not turning than either your starter is bad and not throughing out the start gear or the flywheel is bad and not recieving the startere gear to turn the motor over. because the timing belt should spin when turning the eng. over...

i had this or similar sounding issue with my robin trike, after lots of messing about it was found to be a loose alternator not generating enough charge to keep the battery topped up. I imagine the drive round the block used quite a bit of your battery (30 amps approx just to start it) thats when i got my stalling and sluggish responce, not enough power to fireup the plugs 100% run a volt meter on the alternator and the battery