Do you have any pictures of her just standing on a lead rope? Lol I really have no idea, my instructor's horse is a trakehner but I really can't tell. =/
It's possible. A lot of warmbloods start out in a gawky "are they really warmbloods phase" and then become breath-takingly beautiful when they fill out. She definitely has a warmblood or TB head.
It's possible. Modern Trakehners tend to be a bit finer faced and boned than other warmbloods, and they do have a very large inflence of Arab and Trakehner in them.
If it's the same horse in your display (which I think it is!) - she does look quite like a Trak... She's very pretty!! And from what I can tell she's got very well conformed legs and feet - you've got yourself a really nice horse! I'd love to see one of her just standing from the side on halter/rope, that'd probably give us all a better look/better guess.