Fair point about anterior delt, that is a huge component of bench. Do still feel it's, generally, not the best developer of chest overall. If your goal is a big chest, bench might play a role but I don't think it should be a core exercise.
Honestly no, I do very little direct arm work. Perhaps a burnout set of rope pushdowns or something but that's it. I've yet to do a curl. It's worked quite well for me, I think the decent bench volume + dips hits triceps plenty hard, and rows, weighted chins, and farmer's walks do everything I need for bicep.
I could see some value in direct arm work once you have big arms and are really trying to BB for aesthetics, but for general strength and just having bigger arms...I'm not sure it's that critical, especially early on.
Sounds like a fairly traditional powerlifting style bench. Good way to bench for shoulder health and moving the most weight. Progress is good for 4 weeks, sounds like you're following a 3x5/5x5 type program with the big three and linear progression as the core of your program, which works pretty well for many people at the start.
Is deadlift/squat low because you're taking time focusing on technique?
Rather than lots of dips I might suggest doing them weighted, for a heavier amount and progressing the weight. Row your face off, it's a great builder for back and biceps as well as for your deadlift. It's almost impossible to row too much. Not to mention that if anything you want your posterior chain to be stronger than your chest/anterior side. We already spend lots of time hunched over or forward, and getting your chest stronger than your back will only further emphasize these problems. You should be able to row very close to what you can bench.
Farmer's Walk is really underrated. Between that and deadlift it absolutely blew up my traps and biceps, is good for grip strength, and also a fantastic core strengthening exercise in additional to being highly functional. If I could only do one exercise in the gym, I'd be highly tempted to pick these.