Ok--don't know how much time I have right now--I am between clients, so if I don't finish this, I'll give you more exercises later today. It should go without saying (but I'll say it anyway) that these exercises are for when you are done resting and should be done after a warm-up.
Wall push-ups: Stand facing a wall with your arms reaching out trying to touch it. Your finger tips should just brush the wall. Lean into the wall and press your heels down (don't let them raise up). Lower your chest toward the wall (a standing push-up) and then push away from the wall. At the end of the movement, add a slight shoulder protraction (opposite of squeezing your shoulder blades together). Continue for the desired number of reps. Work up to doing push-ups with your hands on unstable surfaces: wobble boards, stability balls, or try doing them with one hand on a basketball (or similar) and the other on the floor. The added wobble will engage the many shoulder stabilizer muscles to help build stronger shoulders than you had before
Rows: In the beginning, I would recommend doing these with some tubing. Loop it around something and hold one end in each hand. Pull the elbows back with the back muscles and squeeze the shoulder blades together. Release. Work up to doing these with weights.
Straight arm pressdowns: Again, use tubing. Loop it over something above your head. Take an end in each hand and with your arms straight, press your hands toward the floor and back. You should look like Frankenstein trying to lower his arms. Again, you can work up to using a lat pulldown bar to do this exercise.
Internal and External rotation: These are the standard rotator cuff exercises. Again, I like using the tubing because you get a better range of motion than with using weights. For external rotation, tie the tubing around a post or doorknob and hold the band in the hand furthest away from the tie-off point, i.e. if you are standing with your right shoulder closest to the tie-off, hold the tubing in your left hand. Place a rolled up towel between your bicep and body to keep flow open to your brachial artery. Open your palm away from your body, pulling the tubing. Keep your wrist straight--it will want to roll open. Open and close your lower arm for the desired number of reps. External rotation from that same position would occur in the right arm--hold the tubing in the right arm and close your arm toward your body. This should be a lot easier than external rotation. Again, watch the wrist--it will want to bend in. Turn around after doing your desired reps and do your internal and external rotation with the other sides.
Whoops! A client is walking in--better go...I'll add more later, but hopefully that will give you a place to start. Let me know if any of those exercises need a better explanation. I was trying to type as fast as possible. Good luck and keep resting!