Your entrance was dandy. It shows the dynamic Malik and Silivene have, and gives me an inkling of how they might respond to situations I'll think of in the future.
As for where to find other dragons, particularly when their partners are in class and such, I imagine Aven Woods and Malae Lake are where they would go to relax. Some would also hang around the Training Grounds to watch other dragons during the Dragon Coordination course, or during battles.