I think Jason's absence on this search is fishy. Damian can go to the underground world to be completely out of the radar, and Jason is the most knowledgeable about the underground network. Ever since Batfam's search in Tec comics, Jason acted like he had no idea about Damian's current situation, and I don't think Batfam or Batman knew that Jason was involved in Damian's prison plan. Either Jason is covering for Damian, or DC wants to erase Damian-Jason's partnership in Teen Titans (which I approve wholeheartedly).
What I don't understand is, why did Tim search on Arkham Asylum? Did they expect Damian to confront Bane? And since when Damian is angry at the Joker? Damian, of course, hates Joker just like the rest of Batfam, but they don't have any beef between them, especially in recent years.