1) No2) No3) NoNone of that affects custody. What matters is who is the child's primary care giver? Who has been taking care of and providing for the child? Until paternity is proven and the courts give you access rights, she has full custody and can make determinations regarding the child. Are you off meds you should be on? Courts are closed tomorrow, it's Christmas.
Probably not but she can keep him from you during the court process which sometimes take months, especially if it goes to a trial.