answer 01: your perpective view is only a camera itself. so you could create a new camera with aim and snap it to the position of your persp camera. if you dont see it (default) just go to outliner and make the persp camera visible so you know where to place the new cam. it might work with duplicating it, but then you might not have a aim automatically.

answer 02: the aim can move freely. you might have selected not only the aim, but the whole camera group. check in outliner that only the aim is selected when you move.