If he returns before 1 PM, put the anime in and watch it with him. Tell him it is really great and stuff.
At 1 PM, excuse yourself from the room to call Alyssa. Tell her you have a few minutes to spare and you wanted to spend the time talking to her. Say you've been considering switching majors because you don't like yours, ask her how she's enjoying liberal arts since it's already one of your top choices. After listening to her, find out if she knows where the campus student police are located, and also where you would go to switch majors. Thank her for her help regardless of the quality of her answer, then inform her you have to let her go, but that you're glad you got to talk to her.