I don't have any problems deadlifting, but I do have issues with benching.
Whenever I start approaching/hitting PR's on bench, I inevitably jack my (right) shoulder up. Last year I did a number on it, and didn't do any pressing for 10 weeks.
There's two causes to this:
1.) To get my bench up, I have to increase volume/frequency. However, my bench form is screwed up, so I just spend more time in a bad position for my shoulder. I tend to shrug my shoulders up, instead of pulling back. I felt more stable that way. This is probably because my traps are stronger than the other muscles pulling my scapula back; this is seen when people shrug when doing rows)
2.) I sit down, with terrible posture, using a computer all day.
I am doing some things to resolve this, but I won't go into detail since you did ask about deadlifts, and frankly I'm not qualified to give advice on that front anyway.
I do think injury is to be expected. Some people are certainly more prone to it. If you have posture or form problems, like me, you're even more likely to injure yourself. You may want to look into those two things.