A 75 w set up should do fine.
You won't be using it too often, by the pics. And surely not much in the winter. 150w of PV is probably overkill.
Go for the 12v CFLs at least. They won't take anything noticable from the batteries if you are running a microwave sometimes. An 11w CFL replaces a 50w regular bulb, but saves 80% of the power. I mean 12v to 12v. A decent 11w CFL uses less than half of a #1156 tail light bulb. Big differance. LEDs may be a good choice for areas like the kitchen during the evening cook outs (only going in for mustard), or in the bathroom all night long.
Get a propane or white gas (coleman) for the hot plate. Maybe even a Coleman coffee maker for the stove (works like a Mr. Coffee but on the stove). Its new, works good, don't know a part number or anything to help you find what I mean. A gallon of gas goes way farther in a stove than a generator.
You could get by with a medium size inverter for the micowave, and maybe... maybe the coffee pot. But only if you drink it fast. And never use both at once
The A/C has got to be gas powered. The TV could go either way, but solar could work.
Looks like you are near Cooks Forest or Clarion area. I have the stuff to do it right here, near Youngstown, OH. and can set it up before you get it. My user name at noi dot net. Just in case.
G-
PS- Never underestimate the power draw of TVs or game stations if anyone under 20 is involved. I can't focus on a TV as long as they can play on one.