There is no lawyer in planet earth who can help you with this so don't waste your time on this, because you signed a deal and accepted the terms when you registered, and you need to pass verification to use their service and withdraw coins.
Read:
https://paxful.com/aml-policy
https://paxful.com/terms-of-service
That's BS, you could absolutely get your coins back with the help of a lawyer when dealing with a company operating legally. Terms of service are not perfectly binding and don't give them a right to steal money. However, Paxful is a criminal enterprise run by a guy with a brain so fried up from drugs that he doesn't see the hole he is digging for himself, so don't expect them to even respond to your lawyer. He's probably looking at $10K+ in legal expenses to get anywhere.