Not necessarily. A person that is on a birth certificate, but is not really the child's father, is just taking responsibility for them. They can't really get into any trouble, legally.
yes she can
No. The birth certificate should show the name of the natural father or the name should be left off the certificate. If you put a name on the certificate and you know that person not to be the father, then you have falsified a public record and in any country in the world, that is a crime.
It is possible to legally establish paternity even if the father's name is not on the birth certificate.
You can't remove a father's name from a birth certificate if he is the father, whether he's an illegal alien or not.
The man on the birth certificate.
The biological mother, and father if known go on the birth certificate. If the father is unknown or disputed, tests can be done to confirm or exclude who it is. If you are married to someone who is not the father, then you can either put his name down and hope it is never questioned, put the real father's name and deal with the trouble, or not put any name at all.
Putting a father's name on the birth certificate does not make him legally the father if you are not married to him. You can put his name on the birth certificate, but realize that it has no legal impact. In order to have paternity established, it has to be done with a court order.
Except in an adoption, there is no such person as a "non biological father." The only man who should be signing a birth certificate is the child's biological father. Any other man who signs it is making an illegal statement.
Generally, the man on the birth certificate is the child's legal father, unless/until proven otherwise.
If the real dad does a paternity test you are in big trouble. You don't have to put the father down, leave the space empty. The adopting couple could get the child taken away if the adoption was proven to be done with false information. It would cause an awful lot of heartache to the child and the new parents.
no
no, changing the birth certificate requires adoption, and can only be done if the birth father's parental rights have been terminated.