I would suggest adding more skills. You're allowed to have up to 7, I think. Of course, you don't have to have seven if you wish. Having only three is perfectly acceptable, it just might limit what your character can do effectively in the RP. It's your choice in the end.
However, I do think your character's pre-RP history could stand to be expanded upon. Where was she born? Where did she grow up? What made her want to join the Star Army? Who were her parents? Why were they annoyed by her going to the Academy? What are her political, social, and religious beliefs?