generator charging 12V batteries

I do not think two hours/day will recharge batteries that are under heavy use, however...I am no 12V guru, (there are several on the tech forum) and, that being said, I will assume you are not using the furnace (it is summer time) and since daylight is lasting until 20:30 or so you will not need much lighting, and your pump does not run constantly, so with those assumptions I believe you will be ok for several days.

You might mention where and for how long you plan on being off the grid.

Depends on the size of the batteries, how much you draw out of them, how large your charger is, how good your charger is, what kind of condition your batteries are in, etc.

Are you going to charge via a 40 or 50amp converter? Is the converter a three stage unit that raises charge voltage to 14.5 to 14.8 Volts? Propane furnace will be a big draw. Chris