Following up on Mystic #1. If the starter isn't engaging, the spring/cup/roller triad (3 sets) need to be replaced, period (pretty much) ASs said, they are inside the starter clutch, behind the rotor. Remove the alternator cover, pull the rotor with a puller, which is a hardened bolt type puller. Get your hands on one before starting the project.
Downhill from there. They just fall out of the clutch, slipped 3 sets back in and reassemble.
I suppose one could be stuck, but I vote for replacing them all. The more you try the worse it will get.
As far as starting the engine, that's a tune problem seems to me. The kicker should start right up first kick. (If not stone cold, then maybe a few) Mine always did. 836 and 888cc.
PS: I just reread your posts, you have CR carbs, lucky you, but my vote is they need some fine tuning. Slow speed jets, idle air screws (if they have those)