Levaquin-Levofloxacin,though it is an antibiotic,has some common adverse effects on CNS as it passes the blood brain barrier.Headache, dizziness, and restlessness are among the commonest effects on the CNS. Others include tremor, drowsiness, insomnia, nightmares, and visual and other sensory disturbances ,tinnitus, Mal de Debarquement Syndrome etc.
Generally these reactions subside when the drug is completely metabolized and eliminated from the body. There is nothing much to be worried.