From the symptoms you describe, I would think you will get a very quick referral on the NHS. I expected to get nowhere (probably from believing what the media say - that the NHS is crap) and was amazed at how efficient everything was.
Called up my GP surgery on the first day it was open after the Christmas break. Had a call back from a nurse practitioner an hour later who referred me to physio without needing to call in to see a GP. Booked this in at a private practice (which I may have been paying to use had I not gone through the NHS) a couple of days later at a time that suited my work committments.
All free. What's not to love?