Dillon, I couldn't carry Ron LaClair's quiver so I ain't bout to give him any shootin tips!
I've said most guys will develop their style and they will, given the right raw material, become great shooters over time with that unique style. You have to take some from each style and find what works for you. It may be you can shoot accurately moving your head, but if not, certainly try "not" moving it. Over time, you will adjust each specific body mechanic of your shot and find what works best for you. It's my hope I can point you in the path of "the majority" which will get most folks, but not necessarily all, shooting well. Think of your head as the top of that "t"...many folks find it easier to be consistent by not moving the head.
It's okay to have the rearward movement of the elbow, in fact it's encouraged. But it should be straight back, not up or down. Imagine pulling with your elbow instead of your hand...your hand is simply a hook. When you release, if you have full pull back tension, your elbow will go back...but straight back. You're definately getting there, it looks like you may be holding back on your follow through. When we say back tension, we aren't necessarily talking about trying to keep the muscles "tense" but continuing to pull with the elbow throughout the shot and especially after the shot in follow through.