NO, BUT THANKS FOR PLAYING

A quick free speech quiz: 
If I put on my web site that the moon is made of green cheese, and someone believes it, can they sue me when they find out my statement was false?
Can the government do something about the fact that I published a false statement, such as fine me or shut down my web site?
Does it change the answer to either of those questions if I thought what I published was true?
What if I published it for a “bad purpose,” for example, that I knew my audience would believe it and would be humiliated when they found out they had been misled?
Professor Volokh gives all of the answers in his UCLA Law Review article and a podcast discussing the article.  I found them via a post on the Volokh Conspiracy blog.