Ok, this one is a little wild, but what the heck:
Did you check the oil again recently, to make sure the level hasn't risen? If suddenly you have more oil than you put in it, that would be gas leaking passed the carb, into the combustion chamber, passed the rings, and into the oil. It would explain the increased consumption, odd running, blow-by (too much pressure in the crankcase gotta come out somewhere) and hard starting. Once it gets to a certain point, the cylinder will become hydrolocked and not want to go at all. Did you try cranking without the plug in? Does it blow out a lot of gas if you do?
Another vague possibility: Is it possible something went wrong when you put on the new piston rings, (missing ring, spaces not staggered, etc) causing too much blow-by there, and increased crankcase pressure? A compression test might help determine either that or a valve not seating.