I too am new here, although have been reading some of the various posts for a while, but particularly wanted to reply to yours because your story is soooooo much like mine! ie. .....daughter ...started tics at 4.5yrs, ...1st tic was head turning (came on so suddenly I took her to a medical centre after dinner one evening) ....have tried heaps of things with no improvement .... the car door thing happened with her too! ....etc.
My daughter is now 8.5yrs.
Things I've tried (through a lecturer/ex GP at a school of Natural medicine): eliminating sugar, wheat, dairy, adding various vitamin and mineral supplements (cant remember what they all were now). Also it was hard to monitor if anything was working as the tics wax and wane, sometimes waning for several weeks, and then slowly increase again. Then when they build to such a point that I "just have to do something for her", they subside again. Also, the waning would sometimes occur when I was doing NO diet control! I decided that diet restrictions and supplements were putting so much pressure on her (and me) so I've basically given up doing anything! which I feel very guilty about.
She's now at an age that she's very aware of it all and can describe some of the feelings she's having when she tics, so I'm thinking of doing some sort of cognitive behavioural therapy, or habit reversal training, etc. I'll certainly be investigating it thoroughly first!! The reason I think there's a glimmer of hope that it may work is that when the car door thing started I decided to try to "nip it in the bud" by a mixture of forcing her to stop it, bribing her with something, and distracting her attention away etc. and it worked! She's never done it since except once, about 12months later, and I immediately put an end to it again. I know it's more of an OCD thing rather than a tic, but there's a lot of similarities between the two.
I absolutely think that the key to finding a cure or treatment for TS will be when doctors work out why the waxing and waning occurs! I keep asking myself "what is happening when there are almost no tics for such a period of time?!".