A model number may help others help you.

[COLOR="Blue"]So, what could it be that would cause it to not spin, then spin fine once, then not work again!?[/COLOR]
Could be it is just on the edge of not spinning so sometimes it will work.

You said that you had heat but no spinning.
On most units this should not happen as there is a centrifugal switch on the motor that closes when the motor gets close to operating speed.
There are two of thees switches, the other one switches out the start winding.
Could be that the mechanical mechanism that activates the switches is dirty or broken and is keeping the switches activated.
You then do not have a start winding so the motor will not start.
Check/clean the motor.

Also check the rotation resistance.
Rotate the drum in the correct direction to see how much drag it has.
It should turn fairly easily.
You may want to try this on a couplwe other units to get a feel for it.