Sorry can't give an answer on the generator
What kind of stuff is running on that curciut?
You mentioned lights and other outlets, you should be fine as long as your not running other power tools at the same time. My garage is on one breaker, there's 4 lights and 3 outlets on a 15amp breaker, and my 2hp 110v mill runs fine as long as I don't try to use any other power tools that draw a good bit of amps.
If anything you might want to install a delayed breaker, might even be called a time delay breaker, it allows for surges when tools like these first start