agree, more volume = better than what you have now.
HOWEVER, don't amp it up right away. You said you just got back into weights after a long layoff, so increase the volume gradually. Give your body time to get used to the stress.
Usually the big cause of overtraining (BESIDES not eating/sleeping enough) is that the guy just jumps straight into high volume stuff when he isn't conditioned to handle it.
If you've been training low volume and heavy, then transition to higher volume stuff on your accessory work (ie--not deadlift/squat/bench), but don't jump into a 35-40 set day like waylander right away. People like him and Bauer have spent a long ass time getting to the point where they can handle that volume routinely.
I like to increase each exercise by 1 set every week until I'm 1 or 2 sets above what my target volume is, then I immediately drop to my target volume the next week (eg-- target is 4 sets, start at 2 sets and ramp to 6, then drop to 4). This is only usually when I've taken time off or coming back from some injury/interference, or even when I've devoted a lot of time to low volume high intensity work and have lost my work capacity.
Also, and I admit my bias, but WHY do people put deadlifts on back day?? I'm being serious here. I mean, high rack pulls I can see, but full on deadlifting? That's way too stressfull for me to handle heavy deadlifting and then do a full back session. Or, rather I could handle that, but deadlifts would suffer from my leg day. I dunno.
But then, I train legs 2x a week as dedicated sessions.