Campus strictness is kind of a mixed bag. You can get away with a lot, but not murder (or growing pot in your room). LSU is usually looking out for underage drinkers on campus, except during football game days, and most of the dorms don't allow alcohol. Students in the on-campus apartments have less restrictions, but if you are living in a dorm, you have to obide by their rules. RAs will search your room, so it's important to make sure your coffee pots, booze, and anything else illegal is locked away when you are not around. Campus strictness depends completely on where you end up living. People in the Pentagon throw keg parties on the weekends without having any problems, while students in West Laville have to write essays if they are caught with a hot plate.
Game day tends to be the most conflicting day for students that have run-ins with campus police. Some cops allow students to run wild on LSU game days, while others are looking to hand out as many MIPs as possible. However, it's still hard to use the word "strict" when the entire campus has been turned into party grounds. For off-campus students, the major quip is with DUIs. If you are driving drunk in Baton Rouge, you will get caught. But you should always designate a driver for personal safety.