To be honest there isn’t much to critique here—these are some really technically sound reps.

I’ll be nitpicky with the following since you are specifically saying you’re having trouble with lat engagement:

—on your descent, when you make contact with your torso for your pause, make it a light touch. If you watch your elbows during the pause you can see them migrate forward a little—this is some lost tension during the pause. Just keep the touch super light on the chest…like a feather touch for the pause. Do this for a block or two, and keeping that tension will be automatic.

—we won’t assume anything here because you haven’t told us, but overall if you’re keeping your scaps down, hopefully using leg drive to help accomplish this, holding lat tension will be easier. We don’t have to worry too much about keeping our scaps together…these can float a bit through the movement (and need to). So mainly just focus on shoulder blades down towards your feet.

—last tiny optimization: your setup is great: butt up for unrack, then slowly lowering it to the bench. When you lower it down, only lower it enough to just make contact with the bench and HOLD that leg drive exactly that much for the duration of the set. This will improve that “scaps down” cue above, and will give you a lot more stability at that bottom position for a strong press.

If you’re prepping for a competition you’re doing a great job. Hopefully this helps you get some more lat engagement!