Yet, another e30 starting problem

[Tar]

1990 325i. Car started having diff starting but only when it was hot. Then over about two days time now nothing. It cranks over fine but nothing. I have checked power at the pump when cranking and that looks good. Also hooked up 12 volts directly to the pump and that works. But the pump won't come when plugged back in. Also replaced the main relay and swapped out fuel pump relay. Any suggestion??

[anjy834u]

u might need to change the ignition system. i surely thing its a case of faulty ignition system.

[Tar]

Update: checked for continuity at the pump for hot and ground both show a closed circuit. Resitance at the pump and terminals both read 9.5 ohms. After getting the pump to run on direct 12 volt system I put the pump back in and the car started and ran well for about 15 mins. Then same thing not starting. Also, checked coil resistance and it is looks good. Pulled a plug and cranked and I get fire. Checked icv and plug for correct resistance and or voltage. Icv test good but plug shows low voltage out of one side(?). Went to go check the cold start injector and the car does not appear to have one. I
Tried pulling out any codes but I see no check engine light on the dash. Either the light is blown or could this point to a bad ecu/dme? The only thing I know left to check is the coolant temp sensor? So this is my question... Bad ecu? Fuel pump? Or ?
I might just be making this harder than it needs to be but I don't want to throw a $200 fuel pump in on a guess. Any help is greatly appreciated.