Sounds like inconsistant spark/timing issue. I would replace said points, and condenser. Get one of the inline light up spark checker lights from Harbor freight so you can leave it on while it runs(once it runs). Double check the gap on the points against book spec with feeler gauge or the thickness of a common business card/match book cover(old mechanics trick). Bad points and failing condenser will cause irratic spark. You can read the Kohler shop manual for this engine on their website for free. You need to set everything to book spec then try. That goes for both carb jet adjustments, point gap, a good Champion plug correct for that engine. Once she is running you fine tune the carb jets by ear. The big one that sticks straight up is the high speed jet. The one at an angle on the side of the carb(if it has one) is the low speed(idle) jet. You want the throttle about half throttle while trying to start it, to low and it will fight you, to high and it may flood. While your at the store, get a can of starting fluid and have the air cleaner cover off. Then you can use that instead of the choke to light her off and keep her going if the carb is acting wonky. If I was closer, I would help out in person. One other thing, make sure someone has not put a coil on it that does not have a resistor in it. Highly imporant. Cubs require the coil to have an internal resistor.
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