Yes... your boat is basically a 99 speedster with different stickers, green seats, and a green hood.
Wellllllll.... the BN and SBN are close to each other. You will have "Supper" BN carbs.
The regular BN carb had a round pump/diaphragm body. The supper BN has a square body. But there is one last version... the is an "I". THe "I" has a normal 2 bolt flange, the standard version has a 3 bolt air box flange. There are some other differences... but that's the easy way to ID them.
Your boat should have two Super BN-38i carbs on each engine. You can order a rebuild kit from any reputable watercraft shop. BTW... get a real Mikuni kit. I've been having problems with hard starting, and import diaphragms.