I know this is going to seem abhorrent to most of you guys.
I'm going to post it any way.
If your Zuke is still running the stock carb. Its screed up...After sitting that long I GARONTEE IT...
Here is the part that's liable to generate hate mail...Take it to a shop and pay the $80 or so $ to have it diagnosed...They will plug it in to their computer and VIOLA no more guessing....
Sounds like your running real fat--- extra fuel is washing past the rings ( which are old ) mixing with the crank oil (drain some and smell it- bet there is gas in it) Thinned oil washes back by the rings . All of this will cause the fowling, smell, and oil loss...Boxcar...