I think you got your tire sizes reversed front to rear. The 100 is a tad small compared to the stock 110/80-18. That rear tire IS the stock size and I can't recall anyone using anything different on the stock wheel.
People, myself included, generally think very highly in the Metzler ME880 and the Avon Venom. Bridgestones and Dunlops seem to be crap, unless you want white walls then you have to go Dunlops. Other than the stock 110/80 on the front, I've run 100/90, 110/90, 120/90 and the 130/70. IMHO the last one looks the best but handles the heaviest. The 120/90 requires changing the front fender bracket in one of about 3 ways. The 110/90 handles probably the best IMHO, but they all do okay.
Clutch is wet.
EBC floating rotors, available from FastEddySports.com, are great. Get the matching sintered brake pads.
With the wobble, make sure the rear axle is perfectly straight when adjusting the chain, for one thing.
If the chain and sprockets are original, they are likely overdue for a replacement. Haven't heard of many people running much over 22k with one.
Hope that gets you started.
