IMO , You dont need a generator unless your running Air conditioning and then it is a must have but very expensive , I have a Honda 2000 and if I'm not mistaken the gas cost me 75% more then if I got my electric from the grid , not that I ever get it from the grid but just a example to show how inefficient producing electric from a generator is.
Also I would ditch the idea of a invertor and instead run all 12 volt appliances ,
You can pretty much leave 12 volt LED Light strips on without worrying about amp draw.
I bought a 12 volt truck driver oven from the truck stop , it looks like a joke but worked very well at replacing my microwave , The truck driver oven is small and does'nt take up much space , takes about 10 minutes to warm up hot dogs or a dinner, if the dinner is frozen i plan ahead and Iet it thaw over night .
It would take about 40 minutes to warm up a frozen dinner.
For boiling water I use a propane cooker instead of microwave.
mayby hook up a invertor but only use it for emergencys ( to save power) like power
tools and such .
One thing I've never figured out was how do i run a air conditioner while boondocking and make it cost effective , I ve searched searched and searched looking at truck driver air conditioners and also marine air conditioners and also the mini split units which are very bulky
To power the fridge you could get a fridge that runs on propane , I heard they run a long time on not too much propane.