One thing I always thought was interesting in reading about faction leaders was the relationship that many young kings had with their mother. I think it would be interesting to have a king who was a "momma's boy" and would lose influence, command, and management because he was off acting in plays or what not. This could be a temporary trait while his mother is alive and either he becomes inconsolable when his mother dies and absolutely worthless, or he could come to his senses and recover or even execute her before she dies a natural death. (I am pretty sure the last on is impossible, but hey)

Another question I have is, it was quite common in the ancient world to kill all threats to the crown, especially family members, is that possible in EB. I realize it would suck and for game play reasons, might be a bad idea, but I still think that intrigue is intriguing.

Finally, along those lines, could there be an event where a leader catches wind of an attempted coup (real or fabricated by a jealous aide) and kills a large number of his support staff. That could lead to many temporary and permanent traits that would really make your king a pain to have around.