You sure its YS1 and not Y21? The YS1 is a Integra 90-93 Ls/Gs/Rs or 93 gsr transmission. It definetely did not come with your b18c1 motor. It's a cable transmission. So I figure your car is an EF civic or CRX and whoever put the motor in, put that transmission in because they did not want to do a cable/hydraulic swap.
The turbo spooling has alot to do with the turbo you are getting and the type of setup you are getting. Do some research online on the subject. Yahoo! Google and educate yourself.