Sophia is the all girls university in Tokyo iirc.
Heard lots of good things about the place, so it doesn't sound like a bad place to study.
Uni Info
(Now I remember why it's familiar to me, was thinking that it was the Catholic girls uni, but wiki says both genders so that may be my misinterpretation somewhere... oops)
And i know someone going there.
But the website will give you most of the info need anyways. ^^
As for surrounding areas, its better to do that research yourself with guide books and so on.
Since its Tokyo, that shouldn't be too hard.
Ichigaya and
Yotsuya are in the city centre, close to
Shinjuku on the suicide central train line *cough* I mean Chuo Line.
Ichigaya is a lovely place, lots of resturants, tons of sakura trees along the riverbank and Yasukuni Shine is there. (Opp the Palace gardens)
I'll leave the rest for you to discover or check out if you're really curious.
As for Chinese/korean, well most Japanese like peeps from there on an average basis, probably cause of the drama shows they import.
It's usually the other way round, where issues kinda arise on the 'not liking' front.
You probably won't get the generic gaijin questions if you are from asian decent. As for that experience, see for yourself?