Your correct about the green wire. It does not appear to be a ground wire. In your second picture, it appears as the motor is wired for 220v. The terminal block on the left hand side of the pic matches the nameplate in the first picture. The small green wires that jump the terminal block to the switch are your motor leads. The power will just pass through the switch to the motor.
You need to determine which contacts are closed when the switch is in the fwd direction and which are closed in the rev direction. That will determine where the blk, wht, and green wires go. the switch will "swap" two of the power phases to the motor leads that switches motor rotation.
It appears to be correct to me. In reference to the second photo, If you look at the contacts right to left, the first contact is closed with the switch in both FWD and REV positions.
The Second and Fourth contacts should be in the same state as each other, either open or closed. The third and fifth contacts should be in the same state as each other, but opposite of the second and fourth contacts.
I would guess the other end of the BLK, WHT GRN cord connects in the control box to a T1,T2, and T3 terminals.....