You'll be fine.
Just make sure you're trying as hard as you can to improve your form.
(Paused squats can be good as well if you're gonna have a light squat workout)
And no, your quads won't be lagging behind if you're squatting with 2x or 3x per week frequency.
I don't recommend 5x5 for LP though. 3x5 is the norm, because 5x5 makes it too hard to progress.
There's more info in the sticky if you need more help.
fitsticky.com/novice-programs
(all %s below are from your 5RM)
I mean, the exercise selection looks fine. Kinda hard to tell much without the %s you're using.
I recommend you do push presses on volume day. They're excellent for increasing your press. You can do 3x5 Press 80-90% and then do 2-3x6-10 Push Press (keep the same weight)
I'd also suggest you do some type of floor pulling on monday. RDLs are good if you can do them 3x5 heavy. Alternatively, you can just do lighter deadlifts (70-80%) with 3x5-7 sets or so, or a variation, like deficit DL, Snatch DL, or DL from boxes (or rack pull*).
For B you can do lighter RDLs if you want. Just go for the hamstring pump, don't focus on going too heavy there. Alternatively, you can do back extensions and leg curls.
For the squat on B, I usually recommend doing 2-3x3-5 Paused Squat (2-5s pauses) using lighter weights, 65-75%.
For the press it's ok to use heavier weights on B. You can do something like 3x6-8 using 70-75%, or just 3x5 using 75-85%.
You can sub the bench on A for dips, if you don't care much about the bench and wanna try something different.
For the chinups, just do AMRAP for 3 sets or so. If you wanna do weighted, then it will require a bit of reorganizing things around. I'd do 3xAMRAP on C, 3x5 bw on A (supposed to be lighter), and then 1x5 adding +1-2kg on B - and then skip the RDL on B and just do back extensions instead.
* If you're gonna use the rack, I suggest you use a bar that's already a bit bent. Power rack safeties can bend even the best bars.