OK...NOW we might be getting somewhere!..... The "old" advance unit is SEVERELY corroded, and it is likely the camshaft end was similarly affected......Even if you "cleaned" the area the advance unit "seats" on, it may allow for "wobble" or "slippage" that will change the advance setting (or allow it to change) while the engine is running..... Did you replace the "key" pin?...And back to my first question....Were the replacement point-plate parts Honda brand,(manufactured by Kokusan or Hitachi) or just aftermarket ones "for Honda"?
SOME cheaper aftermarket parts are nearly impossible to adjust "within specs".......
Once you correct the points/timing so the bike fires EXACTLY on the "F" and "LF" marks, AND advances to within the doubled lines at 3000 and above, it may run better.... I still think you are leaning-out somehow.... (could be a clogged jet, jet passage, crack in the rubber manifold, or many other causes)...Regardless, RECLEAN and adjust the carbs!...(Get kits and replace the o-rings on the jets, reset the float heights, etc...)
ONE often forgotten rule is: Just because a part is NEW, DOES NOT mean it is GOOD!
The picture helped!....Got any of the other suspect components?.....
You REALLY NEED to check compression as well.....
Steve