also if I may add the following:
in a rotated orientation, merely dragging any of these five markers will change their rotation settings - weird!
dragging the markers after re-setting the orientation to zero degrees allows them to behave as you might expect when dragging any element - it just moves in the xy plane without a whole bunch of other parameters changing too.
give it a try...
but still... I hope I'm just being stupid and someone can point that out to me so we can get back to work.