Car Won't Start While Cranking

Key in start connects the power to the Brown J3 wire and the Yellow S2 wires only.
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On a points system the ballast resistor is not in the flow path for ignition during start.
Also since the engine runs with key in run, resistor must be intact.

Since the starter relay is getting triggered, there must be power into the key switch and into the S2 wire.
If its an electrical problem it must be between the junction at the ballast resistor and the connection inside the key switch.

Starting sequence illustrated here.