Need some home A/C help/advice/thoughts

If the cap is bad you should be able to jump start the fan by spinning it with your hand.....be careful....if it's bad the motor should come up to speed if not and the motor does not come up to speed your bushings could be shot or because of the intense heat they may be binding due to thermal expansion of the steel shaft.

Next clean the a-coil/check that it has not frozen over. If the fan is not moving air across the a-colis they will turn into a block of ice and take many hours to thaw out. Clean the condensor coils with water and vacuum them to remove any debris that may hide between the fins....AKA cotton wood tree droppings.

Try Grainger in your area for the parts if you have one of those stores.

Good luck.

Mop