Yes, they have dorms, which have a curfew. At my uni, it's 11pm. A roll call attendant calls out your name at that time; if you are absent, you lose points. If it's three times, you're not allowed to nick off to see your family over the weekend. Yeah, controlling much? Some unis it's 10pm.
Dorms are divided by gender. Speaking of gender and gay issues, forgettaboutit.
The music department would have studios for that sort of thing.
In my uni, major classes are in their building (eg, the engineering buildings). For majors such as international trade, the major classes is held in the same building if not the same floor. They are twice a week, for three hours. Depending on the major, exchange students (mainly Chinese) are graded differently, which screws up the grade for the Koreans. This is what happens when unis are scraping the bottom of the barrel for $. In the last few years, the quality of Chinese students have gone down. Koreans complain about how noisy the Chinese are, and vice versa.
Non-mandatory classes are in other buildings, depending on spaces available.
Most classes are now elective, some bright idea implemented last year, so now it's a popularity contest for the teachers.
Each major has a culture, but generally bullying of freshmen by seniors is rampant. Respect for your elders is paramount. You have to bow and use the formal greeting if your major is sports science, for example. The flight attendant freshmen had to keep bowing until the sophomors had left the vicinity. Locals have to attend MTs (membership training) which is a bonding camp over the weekend in the spring semester, where drinking and sex takes place; the pressure to go is intense. Girls are bullied if they don't wear make-up. You don't go with the flow, bow and scrape, you are ostracised as if you don't exist. These students are easy to pick out; they are usually nerds. This is a group culture, so it's worse for them than it would be for us. Sexual harassment is rampant. My female students on their ideal partner: 'He doesn't hit me.'
Male students have to enter the army when they are called, often in the middle of semester. That means they would fail classes, but tough. They also have army training days, particularly in April, at the time of Kim Sung Il's birthday, but according to students, it's a day to do some push-ups, some running and muck around. On rainy days, they watch movies.
Many unis have an 'English cafe' set-up. Mine doesn't, but a friend's uni requires each teacher to sit in a room and speak with students who want to talk in English about whatever. This is for Korean students. If your characters are Western, I can't help you there, except classes will be conducted in Korean, not English.
If your characters are Western, these are the questions they will get: Do you know Korea has four seasons? Do you like kimchii? What's your favourite Korean dish? Can you use chopsticks? Where you from, America? How old are you? Do you have a boyfriend? Do you know about the Korean War?
Koreans detested the Bush administration. I imagine they detest the Trump one even more. They resent American interference in their country.
If your character is a Russian female, locals will assume she's a prostitute. The two countries have been trading girls since the 19th century if I remember rightly.
Nighclubs are full of half-naked 'dancing girls'. Sometimes they are required to 'entertain' a client. Hence I detest Korean nightclubs, and the DJ interrupts the music every five minutes to scream over the mic. Nightclubbing is considered risque.
Western nightclubs in Itaewon are dives full of slimeballs and yep, more dancing girls.
If people want to have sex, they go to a love hotel, and hire rooms by the hour.