It feels like its in the lower right part of the cerebellum.its like a tickling sensation.but its really irritating. ?

Hard to tell: Although it is probably not emergent, there can be a pathology contributing to the sensation you describe. I would make an appointment with your doctor so they can rule some possibilities like tumor, muscle pain, infection, etc. A blood clot that moves to the brain is a medical emergency. If you suddenly feel one-sided body weakness, cannot smile or speak, that is your cue to get to the er!

Impossible: You cannot feel your cerebellum that way. Whatever it is, it isn't your cerebellum. If something were irritating your cerebellum, you'd know it, but not that way.