I dont think he's able to do front squats if he cant do regular ones. And still, leg presses might be a little risky, unless its the horizontal machine that you actually sit in, not the one where you are inclined. If the presses dont work, make sure you at least do leg extensions and curls.

Also, put the compounds before the accesory work. What i mean is do your back exercises (pulldowns, rows) before biceps. Which brings me to another point, throw some rows in there. Since you have back pain, use seated cable rows or the one with the pad that supports your torso. Secondly, it would probably be better if you put skull crushers on your bench day. Also, you may try separating the flat and incline benches, doing one on wednesday and the other on sat. Make sure both of those are before your close grip bench if you insist on doing that.

And what's a lat PUSHdown?