Sorry you are having so many problems. Dizzyness with meds seems like a common problem from the posts that I read. But seeing that you were taking Keppra and Levaquin AND were sick with the pneumonia, maybe it's all three things.
I got an episode of vertigo years ago and didn't get over it for several weeks. It was much worse whenever I was lying down and it finally went away. It was related to a sinus infection, but I guess there are so many variables in your case.
I'm assuming you're off the Levaquin? Maybe things will get better now. Take good care of yourself!
Lots of HUGS, Glenda