Hey Monster, Talk about aches and pains! I can only imagine how uncomfortable you are. I have had each of the procedures you mentioned, just not all at once. I know I've had over a dozen epidural steroid injections just on the lumbar region alone. Had the left knee "cleaned out", both rotator cuffs repaired, 5 cervical fusions surgeries and 4 lumbar. Thats not all, but it's enough to let you know that I can relate to your pain. As far as what to do first, I would determine, with a doctors advice which problem can suffer the most damage by waiting. For instance, my Dad waited too long before having his shoulder repair so after he did have the surgery he was not able to get alot of his function back. The surgeon told him the tendon was heavily damage due to him waiting. Also if the nerve in your neck is being compressed in certain ways it can result in permenant damage. Not always the case but often is. It's possible that you could get quick relief from the lumbar shot. You want know till you do it.
My advice is to ask a trusted doctor just what he recommends and charge ahead! I hope you will be able to get some relief soon! Check out the surgeons you are considering. You want the best you can get! It's like anything else, there are good ones and bad ones.
Blackbird