I was hoping to find some LH 1.0 nuggets here. Yours is a rare system.

You could eliminate the coil voltage question like Bruce suggests, but if it has no ballast resistor it may have another cranking-only function. Early LH2.0 used a lead -- I forget whether blue/yellow from the starter switch or the brown from the ballast shorting terminal on the solenoid -- but it told the ECU (pin 4?) to open up the injectors longer, as a cranking enrichment or accelerator pump substitute, as the early (and late) LH cars had no cold start injector. If rich makes it run, there's the probability the AMM has gone to the lean side, very common in LH2.0-- and I've heard those AMM's are very close. I think you have the -001 AMM. Don't know by experience, but I'd think trying with the AMM disconnected might rule it out just as it does for the later LH cars.

Questions that would interest me: (1) does your starter have two small blade connectors in use and (2) what Bosch number is on your ECU? Don't know how much the answers would help you, but if you just happen to know I'd be grateful. None of the books I have cover this 1982 LH jet - I think.
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Art Benstein near Baltimore