You have a 2 wire pump motor, which does not require a control box.
The two black wires will attach to the pressure switch lugs marked load. The green is a ground wire and can usually be attached to a grounding screw on the pressure switch.
You should use at least #14 wire from the breaker to the pump. I think you should be able to use a 20 amp breaker.
The connections at the submersible motor need to be completely water tight. You can get a splice kit from your local pump house.
The torque arrestor mounts a couple of feet above the checkvalve at the top of the pump. It expands the fill the void between the pump and well casing so the the pump isn't free to move around and chaf the wires.