I don't think I would worry about the Microwave if it's working again. Remember that it has a Microprocessor.
Speculation:: For safety issues, the processor could be monitoring a particular component for temperature. It could hold the processor in reset until it cooled. Specifically the magnetron.(tube)
I'd worry more about the Gen.
There were some posts on here not too long ago, don't remember the specifics, where the Gen was acting erratically.
OP included some pictures where the junction box in the Gen compartment had toasted the wire nutted connections.
Would be simple and couldn't hurt to check. Just turn all AC power off first.
