several posters were describing the need on some rigs to plug generator into coach for OP, so i did not.
lf unaware that it is setup that way, you would never think of it.
mine has automatic transfer. a couple years back, as a 7 yr RV veteran, i tried to help a recently widowed friend get her 2007 four winds generator to power stuff once started. i gave up, came home, and came to these forums overnite and called her the next day with the news.
i think it is a pretty reasonable idea...it forces the owner to recognize that AC comes only from a big powerline: shore or genset. no powerline, no AC. thus, the owner also learns what a house battery can and can not work. i think OP could thus have more quickly realized why the microwave was also not working.
when he said this, i was going to post and note which other things he ought to test that were likewise not DC, so that air-conditioner could be ruled out and a focus on genset was needed.
but a good lesson is learned.