Dude, my college did this ALL THE TIME only they used to set up a huge screen on the quad and have like, three hundred people at a time watching it. They also used to show free movies in the auditorium every Friday night. I think it's not a problem legally as long as you're not profiting off of showing movies. Didn't they ever show films in class at your high school? And what about all those film classes in college- the ones where the point of the entire class is to watch movies?
Don't sweat it at all- or just ask a professor in the Law building (assuming you guys have a pre-law degree)
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Sage knows our mythic history, King Arthur's and Sir Caradoc's
She answers hard acrostics, has a pretty taste for paradox
She quotes in elegiacs all the crimes of Heliogabalus
In conics she can floor peculiarities parabolous
-C'hi