You will have to let that go. Even if you feel like she may hold it against you you need to let it go. If you were broken up it could have been anyone. Although I admit doing it with your property manager seems to muck up the waters.
What paperwork? What is it that you have to resign? I hope its not a lease agreement because you signed one and if she doesnt like it she cant force you to sign another. She would have to take you to court. Do not sign another thing. Woa, woa....Is this help from the state or government? If it is she has NO business asking you for anything. Her dealings should be between the state or your case worker and herself. If you pay a portion of your rent then the only dealings would be to give her rent. If you have certain violations written into your lease and you violate them..as long as the reprecussions are listed then fine- lease violation. But if she is just saying you violated the lease anytime she wants to or cites some sketchy made up rule- do not sign anything or pay anything. She can go to court for that too. SHE is not entitled to your daughters ss card unless SHE works DIRECTLY for the agency helping you. That is private info. How do you know she wont do something with that information. Does she use encryption software? Ask her.
You will have to take him at his word or move on. If he is halfway decent then I am sure its awkward. You cant demand he give you anything unless you want to pick a fight about it. I would let sleeping dogs lie and deal with the present.