I am going to take a stab that whoever it is you are facetiming with is not her, is most likely a bot, and almost certainly a scam.

Some installations are joint federal/state jurisdiction. If that's the case the state can prosecute or, in the alternative, the U.S. Attorney if...

Yours is a question for a recruiter, not a lawyer........................................................

You are asking for an attorney on the Internet to do legal research for you free of charge. Candidly, that isn't going to happen. If you want them...

Can you date? Yes. The law allows you to date. Could you lose custody? Absolutely. ..........................

Still not a conflict of interest...........................................................................

It depends on the crime. If he dealt drugs 28 times (for example) on 28 different dates, it is perfectly permissible.

Not even if you say please. They are a private company. They can ban you for any, or no, reason..........

You can sue whoever has your cat, and a court will decide who it belongs to..........................

If you were injured, you can speak to a lawyer in person about filing suit. If you weren't injured, you have nothing to sue for.