The most common fan motor problem is the resistor, but a motor that gets noisy and then stops almost certainly needs to be replaced. I have not yet had that experience.
If you have not yet replaced the capacitor in the climate control, you might as well pick up a cap and some desoldering wick next time you are in Radio shack and leave it in your tool kit, because you will most likely need to replace it eventually.
Instructions here:
http://frontiernet.net/~Papi/Clim_Ctrl.html