It sounds like you could get an order of protection to try and keep him from harrassing you. However, him filing for custody is not a basis of harrassment. If he has filed enough times over small issues you may be able to ask the Court to tell him to stop. You will need a criminal lawyer for the arrest.
If you are successful in proving the false allegations, you may be able to file a counsel fee application against him in Family Court, or sue him in civil court for abuse of process. I advise you to consult a criminal defense lawyer if the criminal charges are still pending. If you need assistance with the Family Court matter, then I highly suggest for you to call a NYC Child Custody/Support lawyer.
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