I just bought my ZX-12R and I do not have a service manual for it. I want to service it but am not familiar with the bike. I need to know how much oil and what kind to put in and how to check oil level, same with the coolant.

Most oils will work, you want about 10W30 weight. you will either have a dipstick on the filler cap, or most kawasakis have a sight glass on the engine case with level markers. you will probly need to remove the fairing pannels to do this job. the coolant should have a small reserve bottle with level markers on it, if not open radiator cap with engine cold, and it should be full.