Welcome to the forum.

Next time if starter doen't click and is drawing power on gauge, give it a couple of hits with a hammer. If it doesn't click and does not draw power, look at trans switch. Starting problems when hot can also include bad battery, cables, connections and possibley heat soak too.
I'll agree about the ignition module, have it tested at least 3 times 4 is better as they pass when cold but fail when hot. Most folks here will say to use only AC Delco IM as other brands do not last as long and give no warning when they go out. Also check and clean the connectors / wiring to the ignition system for corrosion.
The IM needs to be mounted on a perfectly clean plate, clean screws too as it grounds through the mounting screws, use heat sink compound otherwise you'll fry the IM in no time. If you have not replaced your pick up coil recently and also need a new IM, consider replacing the entire distributor with a reman, the new disign is much much better.
If you're inclined to replace the distributor yourself, this may help,,,,
https://www.fiero.nl/forum/Forum2/HTML/079386.htmlWelcome to the madness.

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jetman
Silver 86 SE 2M6 4-speed, with "check wallet light"
Now fortified with 8 essential slices of bacon goodness