I installed 1750W inverter under my countertop, what is good location as battery compartment is there as well, so I needed 2 ft of cable + 1 ft loop for battery tray. Installed dedicated outlet over the countertop, while for microwave I cut the cable (that run under countertop as well) and installed plug on it.
This way I can replug cable going to microwave from shore power to inverter.
I was using household refrigerator in the past in my trailer.
30 amp truck charge is plenty even if you make 2-3 hr stops. Inverters do have over 95 percent efficiency, so spending big money for 12V compressor will not pay back ever.
But research inverters. Some of them have fans running all the time and those take some power regardless if the inverter is working or not.
I think for your set up, I would consider 400W inverter that has low idle draw just for refrigerator and 2k inverter for ovens when you need it.