You have features which do not fit neatly into one category, but I am dobtful that you have CH. At a minimum I would be inclined to say post-traumatic headache/cervicogenic headache. The injury you had and many of your symptoms has me thinking of structural causes (how could you injure your back severely without injuring your neck....some form of whiplash?). I would be thinking about structural problems in the neck, instability caused by your accident would explain a lot. The musculoskeletal symptoms into your shoulder is much more consistent with soft tissue trauma than CH or other rare headache types. Pain into the shoulders and shoulder blades can be referred pain from the lower cervical joints (C5-C7). If unresolved injury is the issue, PT and meds will not help. However, a good physical therapist can contribute by making a good evaluation of the problem and should be able to bring your TMJ link into the picture (highly linked with upper cervical function). You may need to restabilize your neck through something like prolotherapy.