The motor looks to have 2 orange wires, 1 black wire, and 1 brown wire. Where do they go back to. Do the 2 orange wires go to the capacitor? Black go to contact + and brown to common? The 2 orange wires have continuity between them with no or little resistance. Are these both ground wires or common? I think that the black wire and one of the orange wires went to the contact and one of the orange wires and the brown wire went to the capacitor? I need some help here. After wiring this way the motor turns with the unit on, but after a couple of minutes the motor stops and gets hot making a buz? The motor is also turning the wrong way I think? It is pulling air in through the top instead of the sides.

OK bad news you probably fried the motor..

All motors are not equill, go get another motor and get the wiring diagram while your there