Pilot circuit handles up to about 1/4 throttle.
Fouled plugs seldom work right after they've been cleaned. I dunno, why, they just don't.
Your idle jets are probably clogged from sitting for that long, so clean them. Get new plugs. A whole set costs, what, 10 bucks?
SO yeah, clean carbs, new plugs, prolly run fine again. You running with the choke on all the time? Why is it running rich? Cleaned the filter?