it is possible that you may have a problem with the govenor or the govenor spring on your genny,these may cause "hunting"which is what your genny is doing.if you have a parts breakdown manual check the location of these parts and make sure they are opperating correctly.
Clean the carbeurator and lube the throttle cable.
Throttle Position Sensor (TPS) or Mass Air Meter
It depends on if you have a carburetor or fuel injection but it is probably in the throttle body. You could have trash in your throttle body or the throttle body is worn out.
It would start and run but only idle. It would not be drivable.
well, since its a gas generator, my guess is that its powered by farts, so farts would make it very hot.
It may be that the idle is set at max rpm on your carberator
Yes, if the governor failed in a way that "makes it think" the generator is always running too fast it might prevent the generator from running at all.
a sticking cable at throttle body or a idle air control sensor. check to make sure throttle, is not sticking at throttle plate.
Plugged fuel, air filter, or catalytic converter can cause that.
Could be a bad throttle body