You have mentioned a blower motor and a condenser fan motor. Help me to understand what you are doing, please. The condenser fan motor (on the outside unit) should not have but one speed and should normally be wired to 220v. There should be a run capicitor which only changes the phase angle and keeps the motor running smooth.
Has something fallen into the motor? There should be a shield over the motor and under the fan to keep rain out of the motor. If you bought an identical specification motor and capicitor, wired it up as the old one was it should run without any hitches. I'm not catching something here, but I'm reasonably sure the contactor is not at fault; it is simply a magnetic activated switch to turn on and off.
I sure don't blame you for trying to DIY here, $1500 would scare me to death too. Grainger is a good outlet to deal with, I like them.