Does the wife have the right to refuse polygamy after having agreed to it at the time of the marriage contract? And what is the ruling on her disclosing marital problems to her family with the intention of reconciliation?

If the wife stipulates in the marriage contract that her husband must not marry another woman, then she has that right, and she is entitled to annul the marriage if he marries another. However, if the stipulation is made after the contract, the husband is not bound by it, and the wife is not permitted to refuse herself to him if he has paid her the advanced dowry. As for a wife disclosing her household secrets to her family for the purpose of reconciliation, it is permissible to the extent of the need.