What is incumbent upon a man who said to his wife, "My religion is forbidden to me if you go to a certain family," and then his wife went with his knowledge, and what is the validity of this oath and what are its implications regarding expiation or renewal of the Shahada?

The question is ambiguous. What we understood is that the husband said to his wife: "My religion becomes forbidden to me if you go to a certain family," and the wife went with his knowledge. This utterance is a great and serious evil, and the man must repent, seek forgiveness, and perform righteous deeds. This phrase is not a binding oath, and it does not entail expiation or divorce. It is not considered disbelief that expels one from the faith, as long as the speaker did not intend to make his disbelief conditional upon a specific matter, but rather intended to prevent his wife. Therefore, we do not see the necessity of renewing the Shahadatayn (declarations of faith).