I'll help with the school names, once my brain is back on. for now I'll say you'd probably want to use one of the more famous old Yagyu schools like Yagyu Shinkage Ryu for your kenjutsu type, and if going offense/defense let it take the defensive (ever read about the No-Mind? Shuji Suriken sounds a bit more defensively minded than straight out offense, though it IS used for cutting a foe down). They're just too large a school and too famous a school name to pass up. Also, Miyamoto Musashi's style of two-swords was called Hyoho Niten Ichi Ryu, or Niten Ryu for short.
For the odd styles, maybe a note that the old school Kage-Ryu had an emphasis on No-Dachi (greatswords?) or something.
First off, definitely decide on a time period you want the class to be from. Are we talking 17th century, if we're mentioning Musashi's style in the past tense? Just make sure which you'd like, since schools were split, modified, and preferred over one another depending on the years we're talking...