Chest and Back

on bench press does your lats really play a big role in the bottom position, i want to train agonists with antagonist trying to get alot strength, if im doing a set of chest resting then doing back then chest then back, wont my back be beat pretty quick or at least somewhat to a point where i wont get as much back strength since they workout out in the bottom position of the bench

Yes, the lats play a big role in the bench press when used properly. Definitely train the back and chest together to get a synergistic effect. Your lats will not be so much in the bench press that it affects you back workouts.

I’ve been working back and chest together for a long time and wouldn’t change. Deadlifts in your back routine make it interesting as well.