I’m not going to comment on the motor choice other than to say it looks much closer to the numbers that Andy suggested. I’m guessing the rating is more appropriate for continuous rating than peak (a good thing)

To answer your question: you essentially want to add an encoder to the gearbox output, either directly or on either end of the ball screw.

You will always want a “home” microswitch close to the home position for the mechanism to reset/calibrate the closed position... that allows you to include soft stops on the traverses by predicting position.