Hey Jdid how are your quads doing?
Also you say that your deltoid hurts and that pullups hurt it too. The deltoid is made up of an anterior, medial, and posterior part. I think the problem might be that your anterior deltoid (the one that is hit the most during bench presses and shoulder presses) is too strong in comparison to the posterior deltoid (which it is in most people).
And, if I remember correctly, all pressing movements and specifically pullups put your shoulder in an internally rotated position.
These 2 things give shitty shoulders.
Try this: Scapular wall slide.
Put your feet 4 inches away from a wall.
Touch your butt, head, and the entire back (even the part where it arches!) to the wall.
Put your hands up.
Touch the back of your hand, every finger, your wrist, and the entire forearm to the wall.
Slowly bring your elbows down until you make a 90 degree angle with your shoulder joint and elbow joint.
If you can't do this or are having a very hard time maintaining this position, you probably have the problems I said above. Here's a picture of what I'm getting at:
Google Image Result for http://www.inmotionjax.com/images/exc_neck_wall_slide.jpg
Try incorporating some light external rotations and reverse flyes at the end of the workout and/or on your off days.