If you are going to store your TW for that long, I'd recommend draining the tank (remove and hold upside down), running the carb dry, draining the float bowl, (maybe only a tiny bit left, but worth checking, then pull the spark plug and squirt a tablespoon or so of 30 wt. oil in the cylinder and crank by hand 2 revs. Don't turn it over until ready to remove from storage. Remove the battery and charge it once a month, or use a Battery Tender. This should be good for a year unless you're in a really humid environment.
I'd say your regimen is good for 4 months, IF you use non-ethanol gas. Otherwise, two months. Stabil doesn't really address the ethanol storage problem.
Oh, and get those Phillips out and replace with Allens.....might be easier now than five years from now.