Multiple problems: rotating, rigging 1:
I want to rotate mesh in object mode. If "manipulate center point" is inactive, it wont do anything.
If it is active, i can rotate only around X axis. (Same in edit mode)
Nothing is locked in Transform panel!

2:
In pose mode: If "manipulate center point" is inactive, I can not either translate or rotate.
If it is active, and i try to translate, it is rotating, but only the middle bones and the bones on the right side.

If I try to rotate, nothing happens.

I tried 2 versions of blender, but same problems.
The "manipulate center point" setting is only useful when you have more than 1 object selected. 

If you have (eg) 2 cubes selected then without "manipulate center point" (lighter icon background), the two cubes rotate together as a group, as a whole single object. 

Enabling "manipulate center point" (darker icon background), the two cubes rotate individually around their group (ideal) center.

So, if you wish to rotate only 1 object, deselect that setting and try again.