Join Date: Jul 2009
Location: Lithia Springs, GA
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Problems like jumping out of gear need a set of eyeballs on the actual gears to diagnose correctly, in my experience. I had some issues with a 636 upshifting into 4th from 3rd any time I came off the throttle. I ended up dropping the motor and splitting the cases myself and taking the bottom crankcase with transmission installed into a mechanic. He took about 5-6 minutes to look it over and let me know what to replace. If you're comfortable doing that you can save in the neighborhood of $1000 in labor.
I don't know how it could give a neutral light from any gear other than 1st or 2nd. The shift drum would need to rotate into the position for neutral in order to light the indicator. From 4th, for example, the drum would have to rotate into 3rd, then 2nd, then into neutral.
Basics first. Be sure you are completing your shifts, especially into 2nd, and also that your linkage isn't binding or has too much free play, your shift lever isn't too high, stuff like that.