Over the next four or five years, the prince acts as regent. He has to administer justice. As a consquence, he has to acquire a reputation for being just. AND --
do this without either the cases or the story time they take up making the reader think that they will be important in the course of the story. Just his reputation.
I may shove them off stage entirely and just have him grouse about how he gets far more cases than his father did.