Sounds like it's running a bit rich, eyes burning, smell, etc. I'd rather have a rich condition than a lean one! Running rich is caused by jets that are to big, NOT being a double pumper. Cylinder wash is an extreme condition associated with a misfire on a one or more cylinders when the fuel is not burning. As you indicate the motor runs fine, all though rich, I wouldn't worry about any damage to it. Sounds like 'paranoia' is alive and well, take a chill pill and rejet the carbs, no problem!
That 'over run' condition you mention is; the motor runs on when the key is turned off? Thats often called deiseling as well as 'engine run on'. The NUMBER ONE cause of this is an idle speed set to high. The engine is still rotating when you turn off the key, the engine continues to draw in fuel\air through the carb as a result (slow the idle speed). Hot tiny pieces of carbon or high temperature spots within the combustion chamber ignite this fuel and keep the engine 'running' as a result. Solution? Close the carb throttle plates so the engine 'starves' for fuel\air when shut down. High octane fuel is 'harder to ignite' than low octane fuel and is not as easily affected by the hot carbon in the combustion chamber. THATS why often high octane fuel is another way to stop 'engine run on'.
I would be MUCH more concerned about run on than I would be about cylinder wash. Run on CAN be very damaging to the engine. Like snapping the timing chain for instance.