Looking for Answers about FREE SHIPPING - Generac Inverter - 2200 Surge Watts, 2000 Rated Watts, 126cc OHV Engine, Model# 5793?

Under load it sounds comparable to the honda which is rated at 60 dba.

The engine used on the Generac iX series is manufactured overseas. It is manufactured for Generac and to their specifications.

Yes, of course you can. This and any other generator can power any resistive load that is less than its rated continuous output.
It's when you are trying to power an inductive load such as a motor, or air conditioner that problems may arise. Mostly because of the high starting current such devices require that are frequently greater than the surge (peak output) capability of a generator whose power output would otherwise be adequate.
I'd also be a little wary of trying to drive highly inductive loads such as an arc welder say from an inverter type of generator. The output stage electronics of these generators are pretty tough but tough is not at all the same as unbreakable.

We would need to know the amps and the volts of your furnace to determine the wattage requirement for it. This information should be in your manual for the furnace.
amps x volts = wattage

If the maximum wattage of the stove is 440 watts then this generator would be more than enough to run the stove. It is safe for sensitive electronics.

The Generac Inverters Generators cannot be paralleled.

This Generac generator can produce 16.6 amps at rated load, and 18.3 amps at surge load. You will need to check your RV roof air conditioner to see how many watts and amps it requires.

This generator is not equipped with a 12 V. charging cord for charging batteries.

You could use an external gas supply for this generator. We have item #213800 that could be used as an extra tank.

It would depend on the amp draw that your pump requires. The amps on the 12 volt outlet on this generator is 5 amps. If your pump is 5 or less amps it would work.