Thanks for the clarification. Here's my take.
Tucking the head: My first thought here is that tucking the head won't do anything and that a bend at the waist might be a better tactic. I teach keeping the head upright throughout the delivery. It might drop a bit near the end of the delivery as a result of the forces of throwing the ball hard but I don't believe it should intentionally be tucked. Depending on when this "tuck" occurs, it could certainly lead to other issues as bballman mentioned. Relating this to pain or possible injury, tucking the head cold cause a late posture change. A posture change pulls the head and spine offline from the target and will have the effect of pulling back and raising up the release point possibly causing the pitcher to try to compensate with the arm.
Arm and shoulder finish: I believe that where the arm finishes is largely a byproduct of arm slot. For example, a high arm slot finishes low while a side-arm slot finishes waist high. Trying to force a particular finish that doesn't match the arm slot is a recipe for injury. Now, if the follow-through is being abbreviated either in the arm path or shoulder rotation, then that should be corrected to allow deceleration to occur over a longer distance instead of too abruptly.
Leg kick: As with the arm finish, the back foot comes around in a path that mirrors the arm slot. And that makes sense - all the rotational force that is generated in a the plane of rotation creates inertia that pulls the back foot around in that same plane. So, trying to force the back foot to take a different path will increase the chances for pain and injury.
This is all IMHO, of course. Ultimately, this is difficult to discuss without seeing some video.