If you are getting power from your generator to the microwave, then the problem must lie with the AC. First thing to check is the AC breaker which is located in the main 120 box. In my Axis it is underneath the fridge - a rectangular black box. It has the main breaker and 8-10 individual breakers. Your main breaker is working, but you may have tripped the individual AC breaker. If not the next thing to check is your thermostat.
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