That is really nice you have a husband now who has considered your son as his own.
However, because his name is on the birth certificate, does not make him the biological father. There can be only one of those, and that man is your ex.
Your ex has rights, as well as obligations to see his son and be in his life. You wouldn't want that taken away from you right? Of course I don't know all the circumstances, but as far as I know, should the biological dad wish to establish paternity as you say, and that is determined, then visitation will have to be established, legally, through the court.
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