Could be anything. If the box or coil "got hot," it would not cool off "in a few seconds."
Think of the ignition "as a box." That is, does it have power FOR CERTAIN? If it does, then ignore the rest of the wiring. You have to make SURE of that FIRST.
Easy.............hook a clip lead from starter relay battery stud to coil + If you get spark, it's a car wiring problem
If not, get "into the box," that is the igniton system.
Wiggle/ work in--out the connectors --ballast, ECU, and distributor.
When you get problems like this, I'd be carrying spares for everything. Known good distributor, ECU, ballast and coil.
I built this (GM HEI) for testing used engines. I quickly realized it was an emergency system. Plug in the coil wire, the distributor connector, hook the green clip to ground and the yellow to battery, and you have ignition.