Hi,
I recently (a month ago) began having similar symptoms....with dizziness especially when lying down. The Doc said the eyes moving back and forth are from Nystagmus, a form of vertigo. In my case, it is due to a lesion I have on my brain. The Doc put me on this medication that helps with the nystagmus, but makes me drowzy, so I may as well just deal with the room spinning. I fell in the shower because it also happens whenever I move my head up, down, side to side etc. I sympathize with you, because it isn't a pleasant experience. I began having seizures in September....grand mals. I'm 47 years old. I am on Tegretol, and these episodes began after I started the Tegretol, so I guess they may be a form of seizures that break through. Good luck. Kathy