Sure it can be rebuilt but first remove the starter switch from the top of the starter. Make sure the contacts aren't dirty or burnt to the point of not making contact. Also pull the spark plugs and try to turn the engine over manually to rule out the possibility of a frozen engine. Another step is to check the ground strap from the battery to make sure it's clean on both ends. Good luck.

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Name your dog Naked so you can walk Naked in the park.