Two things, forget gasoline and get a propane fired generator if you have propane available. Gasoline stores poorly unless expensive additives are used. The second thing is that it takes 4KW to start a refrigerator, 1KW will not do.
Absolutely agree; propane is the way to go if you can. You could also get a gasoline generator and add a bi- or tri-fuel kit to allow you to use propane but still keep the gasoline capability.
The second thing is that it takes 4KW to start a refrigerator, 1KW will not do.
Incorrect. 4000W/120V = 33.3 Amps. I guarantee your household fridge does NOT draw 33 amps when the compressor kicks on. Also, I have a fridge that is about two years old and I was able to run it, a single lamp, the power vent for my hot water heater, and my internet connection with a small 1KW generator during our Halloween week power-outage.