At the end, when the baby ends up being a boy, it's not Jack's! As stated earlier in the film: "Jack shoots blanks". They baby belongs to the guy that Jack hired to impregnate her. Before she collects millions of dollars wouldn't they do a paternity test first to make sure they baby is Jack's biological son? It doesn't make sense! No one is going to hand over millions of dollars without paternity testing first.
shareIf Jack didn't share the fact that he was impotent with his lawyer, and his marriage was legal (which his entire inheritance required complete legality), then I can't imagine why a paternity test would be required. Jack's lawyer seemed to think that he was capable of having children, otherwise it would have been more beneficial for them to discuss how to impregnate a woman with a son, rather than how to find a wife to have children with. It seemed to me that their conversations revolved around him finding a wife to have a son with, not how to have a children in general.
shareSorry, I totally meant to say that he was sterile, not impotent, which are not the same thing at all.
shareI get that but the will specifed that his marriage produce a son, so yeah he hired someone to impregnate his wife. But since he was still legally married to Haley the child is his legal child though not biological.
So he is the only father on record. As long as Jack adhered to rules in the Will, he did, he is entitled to his inheritance that his legal and valid marriage produced a male heir, there would be no need to do a paternity test unless his Trustee in charge of his inheritance learned he was sterile then he would be disqualified of his inheritance and it would go elsewhere.