Be careful if you oil the motor!
Some oils, notably 3-in-1 Household (or Multipurpose) Oil, contain paraffin. If you use this type of oil in a motor, the heat in the motor will cause the paraffin to coat the bearing surfaces, and when the motor cools it will stiffen up and the motor will be worse off than when you started.
Use standard SAE 20W motor oil, or 3-in-1 Motor Oil.
That having been said, it sounds like a capacitor problem, not a motor problem.
-kevin