The black is a sympton of dead cambium, which can be caused by a range of reasons. If you can spare that side of the tree, I would consider removing it, although there is a serious risk of die-back. Tricky one. I would not have brought it home with me. But yeah... You have it home already so that is a bit of a null argument.
As for repotting.. One *could* repot in this stage. I would personally wait till the first growth has stopped pushing and most leaves have matured. Then do a repot. If you are worried, look for walter pall summer repot online.