09:37 - The physical examinations Kano's talking about are the ones you sometimes see in anime where the girls strip down so the pedo doctors can examine them...very closely, and take their measurements. That's why she got in trouble for not taking off her bandana.

16:10 - Watermelon smashing is a game the Japanese play, usually on a beach. It's similar to how we smash piñatas at parties, but instead of being filled with candy and stuff, they're filled with...watermelon.