Elec woes, crank, no start after running then parked.

Bring a alligator clip jumper wire with you to jump the terminals on the ballast.
I believe you have an intermittent short or break in voltage to those wires or via the ballast itself.
A spark checker you use between the cap and one of the plug wires is a good one too.. or just pull a wire and, slide the boot back some and look for spark during crank while holding it an 1/4 from the plug.