Well, that's kinda tough. You KNOW the olympic style karate is not gonna teach you how to fight for real so if that's what your aim is, you can eliminate it right off.
As for whether the shotokan class is teaching the real deal - - -that's very hard for a newbie to tell. My best suggestion would be to go to a couple of classes as an observer and then post your experiences both here and at http://boards.ign.com/board.asp?brd=5148
- - - both places have shotokan practitioners who can tell you if what you're describing sounds authentic or not.
As a newbie tip - -don't worry about "authenticity" so much as far as teaching "traditional" martial arts -- - a lot of the "traditional" martial arts are not REAL traditional martial arts - - - TKD practitioners say that TKD is a traditional martial art - -personally I feel that most people think of traditional martial arts as those arts that evolved hundreds of years ago, not less than a century ago.
What I look for in a school is whether they teach you stuff that WORKS - -- you can learn "traditional" aikido all day long and it won't do jack for you on the street, whereas you can learn non-traditional stuff like SCARS, RAT fighting, kali, etc, that will do a LOT more for ya.
Just a thought.