Sorry for the delay, but I actually work 2 day jobs, and help on Just Answer in the evenings.
Yes, I can help. I deal with this all the time - it is actually one of my day jobs.
I need you to do 2 things here.
1. Remove the ar filter. Start the unit. Once it starts, spray in some carb cleaner (do not use starting fluid). Does the engine smooth out and run better with the carb cleaner?
2. Do a cylinder balance test.
To do a cylinder balance test, start the engine.
Using a pair of spark plug pliers, or other insulated tool (so you don’t get shocked), remove the spark plug wire on the front cylinder. This should make the engine change tone, and possibly run rough.
If it does, that means both cylinders are firing.
If it makes no change in the way the engine runs, it means the rear cylinder is firing, but not the front cylinder.
If it shuts the engine down, it most likely means the rear cylinder was not firing.
Now reconnect the front wire, and pull the rear. The effect should be just the opposite.
Are both cylinders firing or not?
If they are not, we need to find out why.