Manual looks GTG. Check your carburetor number stamped into the side of the carb body. Use the jet chart on page 3B-1 and see if it jives. Carbs are jetted for 1500ft from the factory and have a fairly wide "fudge factor" meaning factory carbs are good from sea level to about 3000 ft. That said, I like my tunes to be a bit on the fat side.
Go through the timing and synchronization procedure if you can. At the very least, take off the air box (silencer
) and make sure the throttle plates are all fully closed at idle, and
almost fully open at wide open throttle. I say "almost" because I can't recall any of them getting to WOT on the plates without stressing the linkage.
Hard starts when hot? We saw a lot of that here with the rental fleet. Most of the time the customer had it so badly flooded by the time I got to see it I would raise the warm-up lever all the way up and crank it until it started.
Try this next time, before starting after it's been run and warm, try squeezing the primer bulb to make sure the fuel system is "full". Raise the warm-up lever 1/2 way. Keep you hand on the warm-up lever so when it starts it won't rev way up. If it doesn't start after 5 seconds or so of cranking, bump the "choke" for a second while cranking.
ETA - Whoa Nellie! It just dawned on me that the manual you linked is dated 1998. I'll get our manual tomorrow at work to confirm if that jet chart is correct.