Have you missed out on your firm choice because of this? If not, I really don't think it's worth having it remarked. I get that it would feel better to say you got an A* over an A, but if it doesn't actually change anything for your university choices then it'll just be a waste of time, and money - you have to pay for it, unless you go up by a whole grade.
Also don't forget that it can go down as well as up. I had an AS paper remarked (some years ago now) and it went up by 2 marks for one section and down by 2 for another, so it actually stayed the same.