I listed them in order from Fri toThursday, my lower day is not a big concern...I grow like a weed in the legs and glutes.
Upper.1 Friday
DB incline Bench 4x12
Seated DB press 4x12
DB rows 4x8
Lat pulls 4x8
Dips 3x12
okay, so it looks like instead of focusing on planes of movement you are emphasizing strength in the back and then reps in the push muscle and then vice versa on the next day. I would place the pulling movements first in the workout if this is the case just to get focus on them and put everythin you can into them. Dips are fine for the tricep movement. I may even suggest adding some additional single joint work for the upper back and stabilizers (reverse flyes, face pulls, etc..) given your history of shoulder problems/pains. I would also take the exercises with 12 reps and drop the sets down to 3 there but keep the 8 rep sets up at 4.
Legs 1 Sat
ATG squat 4x10
SLDL 4x10
Standing Calfs 4x12
this looks fine since you don't seem to have an interest in making your legs bigger. Again, might even go down to 3 sets here. not bad though.
off Sun
off Mon
Upper.2 Tue
Bench 4x8
Military press 4x8
T-bar rows 5x12
close grip pullups 3x12
now the day where you are focusing on pressing. 4x8 looks fine for the presses. the pull ups are fine at 3x12. I would also place the t-bar row at 3x12 and again, add in another upper back/scapula stabilizer exercise for the shoulder girdle. You might want to do it in a really high rep range like 15-20 for 2-3 sets to work on the endurance of the stabilizers. Also, add a biceps movement in here since you have some triceps (dips) on day 1.
Legs.2 Wed
Dead lifts 4x10
might want to add a single leg exercise to this day. Maybe a lunge or a split squat or even a step up. Something to that effect.
Off Thurs