I'm working on a Bio project on sperm whales. You might try to find some video footage available on the web. I'm sure some footage is probably out there somewhere. In answer to your question about the mating rituals of sperm whales, sperm whales are pretty typical 'whales' when it comes to mating.
Courtship takes the form of chases, simultaneous surfacing and breaching, and flipper contact.
Fights can also appear to break out, often between two males in competition for a female. Adult males that have reached breeding age leave the main pods and travel alone to lower latitudes nearer the poles. They only return to the main pods to breed. I found a cool web site you might take a look at.