Generator wont restart after running for a while

Do you have a "prime" function; mine is the STOP button.
I always use that if the gen has been stopped for more than a few minutes.

But it does sound like your choke might not be working right.

With mine, the few times it hasn't started right up, if it cranks for about 4 seconds without catching, I stop cranking, count to 10 and it catches immediately the next time. I don't know why.