My previous moter had a 3 wire set up. 1 to the capacitor, 1 to the contactor, and 1 to the circuit board. The new motor has 4 wires diagramed out for 2 wires to the capicitor, and 2 for the line.

Did you get a new capicitor with the new motor? Chances are the new motor takes different size than the old one, lable on side of motor should tell you the new correct size.
Tag the brown and brown/white stripe, one to each of the 2 posts on capicitor
Tag each of the other wires one to each side of the contactor

So I shouldn't be terminating any wire from motor to circuit board?