If it's the Ai I think it is, she's on the site. But hey, cool. I guess word of mouth does work.
1) Japanese culture, if you're Yamataian. A Jiyuuian would also be familiar with the political reasons for the seperation of his/her state from the Yamatai Star Empire and have his/her reasons for staying.
2) Ask Toshiro about the Ygg. It's his plot, but Yamataians are stock characters, so race shouldn't be an issue.
3) Ideally, after. You can mention she's invented a few things, and submit them later. Avoid including what things she's designed in the biography, just in case whatever it is you're submitting isn't going to get approved.
Generally speaking, the only restricted technologies are the ones fielded by the military, like transdimensional energy, unstable experimental particles and technologies that project certain kinds of field (stealth tech).