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

That makes sense, but what is the spec when hot?
It's incredible there are next to no specs when searching these damn things!
Here's a thread with good info/specs.
Excessive ballast resistor resistance?
The ballast is supposed to do exactly that. It is supposed to change resistance with current flow and help stabilize or average out current flow through the coil. They WILL run hot!!