see links below
No he does not.
Then unless the biological father is ok with this and signs his rights over, the new husband has no legal rights to the child.
A DNA test can prove if the biological father is actually the father. If it is proven he is the father, then he should have all parental rights as any other parent.
In the state of Illinois, a biological father cannot give up his rights to the mother, but he can sign over his rights to another male. For example, a step father
see link below
Your husband has no rights over the child because he did not help in the creation of the child, but he can legally adopt her.
If you can find someone to sign your rights over to, (you do not sign the rights 'away', you transfer them) then US law can allow you to do this. For example if a couple have a child and then get divorced, and the woman later remarries, she can request that the biological father signs their child's rights over to the new husband. The biological father is then no longer responsible for the child, the new husband is. However a biological father cannot simply abandon his right just because he no longer wishes to support his child.
Yes, unless the child has been adopted.
certainly
Perhaps, but the better course would be to obtain a court order that reflects reality - i.e., one that finds the biological father to be the legal father. Signing over one's rights will not erase the presumption of paternity that was created by the marriage, and will not terminate any support obligations.
it depends on the state and how long the biological father has been gone. It is never a bad idea to petition the court to see what happens.
Genetericem- marriage transfer rights over the productive services. Uxorem- all children born to the wife irrespective of their biological father belongs to the husband.