I created this rig by myself and everything is centered on the axies but when I rotate his head to either side of him his eyes do not rotate and neither do the eye bones, the targets Rotate with the head but the eye bones don't.
1 Answer
Add a constraint to copy the rotation from the correct bone as shown:
I did this only for the left eye and as you can see below the left eye rotates correctly with the head while the right eye doesn't: