The knock off coils are cheaper for a reason! They have less windings in them, so the spark plugs will not receive the same amount of voltage, possibly causing harder starting. Also, they will not last as long! Personally, I don't really enjoy removing the engine and rear tins, so do it once, do it right!
There are two options for the governor gear. A steel gear that was used in the early K series Kohler singles will go right in, OR Kohler has an updated nylon gear that should last longer than the original issue. To replace the gear, the aluminum engine block must be split.
Carefully check the flywheel magnets. It is common for them to come loose, possible damaging the magnets and the stator. This will cause a no charge condition.