Does the USD library own licensing for any movies or shows?
The short answer is, it depends. Is the group a USD group? Who owns the movie/tv show?
Unless the usage is considered 'fair use'', any purely public performance should pay fees.
What is a fair use? It is decided on a case-by-case basis, but generally, if the group is educational in nature and there is an educational component to the showing (usually a discussion of the movie/tv show after the showing), then it's probably considered fair use. Our copyright libguide has more details. http://libguides.usd.edu/copyright
If you need more details, I would recommend you contact our ereserves person firstname.lastname@example.org.
He can do a fair use analysis and give you more detailed information. However, he will need to know more details abuot the performance and the items involved.