Malik likes chess quite a lot! So that would definitely be fun. Oh god, poor Bakura. Chess against L must be an experience.

Middle of the night would actually be perfect for any identity confusion. Malik's nights aren't too great himself (own Issues + canon dislike of darkness) so his own nerves would be shot, and he'd be more likely to speak without thinking the scene over first....maybe let them get situated, etc, and then a thread or a log?