Josh is stated to be 17 years old. However he was born on Valentine's Day 1999, meaning he should only be 16.
Riley yells "Beat Notre Dame" to get attention from the male students on campus. The NYU Violets athletic teams compete in NCAA Division III for everything except fencing, where they compete in Division I. Notre Dame's fencing teams are Division I as well, which makes an NYU-Notre Dame event possible, but hardly anybody would get all that excited over a fencing competition.