My suggestion is to examine the (1) the etic and emic perspectives of ponn farr/ koon-ut-kall-if-fee and (2) the role of female dominance/male deference in the rituals, and what this demonstrates about ancient Vulcan culture. A lot of this, as posters have pointed out, can be gleaned from the episode itself.
There's not a whole lot out there regarding the cultural significance of the combat, location, and objects of the ritual, though--other than than the fact that the weapons REALLY mess up a guy's uniform.
An interesting topic--you show some spirit. I'm sure your professor gets tired of reading the same boring topics, so I do know why he allowed it. Good luck.