It's not very much, but it's at least good to finally see false accusations being punished in some way. Hopefully, in the future, false accusations can be punished with longer sentences.
Then get a lawyer at the very least. If they didn't pursue the pedo accusation, that's proof that they were lying and didn't report you to the police because it was a clear false accusation. The lawyer will do the rest.
You should definitely move away but sue them for defamation. I'm no lawyer but I think bullying is against the law in America so you can mess them up for it too.
I remember an episode where this character got offended because a character in a book said that the Teddy bear was too brown. Was it that episode? If not, please send me the link to the episode.