Fan won"t start on it's own.

Sounds like classic capacitor failure. A capacitor stores electric energy so that the motor can overcome starting torque by making a big shot available. AC motors must run at rpm's that correspond to the 60 hz alternating current frequency. Theory says this rpm is attained in an instant; reality includes momentum that requires a short but big initial current requirement. If that isn't available, the motor can't generate the power to accelerate to operating rpm. The capacitor provides this power. You can also provide it with a spin. A capacitor is a capacitor and as long as you get one with a micro farad rating at least as big as the one your take off, but as close as possible and not too big, that may solve your problem. Their cheap and replacing both may be less trouble than doing the job twice. If it’s built-in, you may need the whole motor. I been there and mine runs fine.

I had an issue similar to this when my air conditioning wouldn't start on its own. I had to have a service provider come out and fix it. However, it turned out that something was inside of it and jamming it from operating properly. Have you checked for anything that could be stuck and preventing it from working properly? Quality HVAC Services Heating Cooling Systems