1. You can click on anything even with the PS3 version. L1+R3 let you enter mouse mode.
2. There is a option, there is an option in the character options for allowing hotbar customization, unclicking this should disable being able to change them.

3. Or you sure you deleted them? Or did you switch to a new class? Hotbars are only shared between classes if you selected that option in character options.