Your right screen cap shows the "Lock CPs" button on. The one with the picture of a lock on it.
^^ this. I'm surprised rebooting A:M fixed it, because A:M saves what points you have locked.
This is actually a ridiculously useful feature for assigning bones to CPs - just select what you want, lock, then go into bone mode.
I unlocked like Robcat suggested then rebooted.