I can't tell you about rewinding.
It is not the best motor to start with if the intent is to use the factory coils. Lower speed motors are better. 1750RPM is a common motor. 1150 and 850RPM are better, but I don't find them as often.
As it is, your motor is a 2 pole. It needs 2 magnets, or 2 sets of magnets. One pole North up, the other pole South up.
Lower speed motors use more magnet poles. 1750 gets 4 sets of magnets, N-S-N-S. 1150 gets 6. 850 gets 8.
A quick read through Zubbly's #1, 2, and 3 will help. Most of it didn't mean much to me until after I tried doing the first one.
Me? I would do it. Good unit "to learn with". Maybe 2 neo magnets, around 3/4" wide, 1/4" thick, about as long as the iron area of the armature. Turn it down, epoxy the magnets on... see what happens. A good way to find some problems you may see later. Be careful not to cut past the aluminum on the armature, or it will fall apart.
Cheap fun.
G-