BTDT here on the Island for the sunny half of the year.
You should not get that res fridge! Your life will be so much more enjoyable with a propane fridge so you can relax. Very serious about that. Res fridge is only for when on shore power or a couple days off grid. Not for several days and longer off grid.
Just get one of those giant propane bottles delivered and the propane truck comes by once in a long while as needed.
Even so, as said above you want a 2000w or more inverter to run the MW (pulls 130 or more DC amps) A 1000 will just barely run a toaster (pulls 90 DC amps.)