Sounds like a lot going on here.
1. Did you test the stator or did someone tell you it's shot. I personally have changed 2 already (2 different bikes) and I pulled the engine both times. Not really that difficult and you'll learn a lot about the bike.
2. If you pull the engine then you can pull the carbs first and clean them awhile, then you're assured they are clean. The petcock works off a vacuum so if you have gas all over the motor it could be leaking from that.
That would be a good start, and it would probably be a good idea to install new NGK Irridium plugs and an AGM Battery. Also do the spline lube for the rear wheel while your at it and flush the front brake fluid.
Providing you get this running properly, doing these maintenance items is just as important to keep your ride running smooth all summer. This will take some time for a Noobie but it's worth it.
"Show me a man who makes no mistakes, and I'll show you a man who doesn't do things." Theodore Roosevelt."
2007 Victory Kingpin
Current projects - 1986 VN750 & 1988 EL250