First off, I am guessing it's a capacitor run motor. Most of those small fractional horsepower fan motors are. As to it not working, there was a reason it ended up in the junk pile!
No. It is likely something like a simple induction motor. One winding, no start switch, and no caps. Just one winding.
I would guess either one group whatever they are called or "pole" is somewhat shorted, or else the bearings are still a problem. It may also be that it was dragging the rotor against the stator, which damages the two, and screws up the magnetic field. "Eddy currents" or whatever.
If you are certain it is all factory, and the bearings seem free, it's time to look for a replacement motor
