I dont think this is very good. Please rate 1-10?

6, I'm not sure if I would read it. Excusing the errors, I though it was pretty good. I think it skips around a lot. Also, I think it would be cooler if instead of just writing all of her "facts" out now, we discover them while we read the book. By the way, I think you should continue writing in the first chapter because this description is very vague and I don't exactly know where she is/what's happening, etc. I'm not so sure what to suggest about names because I'm not sure if you want unique names or more common names, but... how about Felicity or Anika? I don't know, I'm not that good with names. Ana means grace which is a useful skill to dance with. If you need a really unusual name, Akalia means mythical which could could relate to your story from the genie aspect.