Congrats on signing up for the class! You should have a great time riding and racing out there, the people are great and the track is just awesome.
I think you'll find most of your questions will be answered during the certification classes. As far as the racing goes, your bike should be fine as long as the bottom bracket is high enough. There are all types of bikes out there and you won't have to worry about anybody laughing and pointing. You will need a race certification, bike, helmet, gloves, some basic cycling gear, and shoes with clipless pedals. After you've got those bases covered, you may also want to have a small tool kit and few different chainrings and cogs to change gearing for different races.
For more information, just check out
http://www.giordanavelodrome.com
If you've still got questions about racing or coaching, drop me a PM and I may be able to help further.