I couldn't find the Lunarc Wand, even after all the hints.
I found it, but accidentally. I thought it was on the top floor of the Astronomer's Tower, but it was above some double doors inside a small classroom on the 3rd floor (not the top floor), at the south end of the hallway.
So while I'm here, what's with the floating thing with multiple eyes. I ran away from it, it didn't follow me, I tried following it, but it led me nowhere in particular. It DOES creep me out. Much like those dudes with bad posture and cages covering their heads.