Welcome to Fluther.
I think that @Unofficial_Member misspoke, and meant to say that “if you’re really NOT guilty” of those things. But you probably already knew that.
I would agree with all of those above who say that you need to get your attorney involved. There is, as @Unofficial_Member points out, an opportunity to file charges of “abuse of process” against your husband and his attorney. Assuming there’s no gray area where your husband can kinda-sorta make a case that your filing is not letter perfect, most judges take a very dim view of their courtrooms being used as a place where litigants can fight unfairly and with lies. That’s the abuse of process, and the judge will be more apt to side with the party playing fair, right off the bat.
But your charges have to be spotless, too. So your evidence has to be clear, convincing, legally-obtained, etc. There also can’t be any “agency” harassing your husband on your behalf, such as your attorney or his investigators or other agents. That counts as “you”.
As to “how could he file charges”, unless he’s doing this himself – which is permitted, that is, to file pro se motions (on one’s own behalf) – then he can get an attorney to file nearly any charge that he’s willing to pay for. However, if an attorney is filing false charges and is brought up on that charge, then he risks his livelihood (at least in that jurisdiction or state) if he persists. If he persists in some sort of legal malpractice, then he can be disbarred, and most lawyers don’t want to risk that.