What is the religious ruling on handing over the deferred dower and marital belongings to the ex-wife, knowing that she has married another man? And are the marital belongings the same as the mahr? And is the deferred dower sufficient to pay the mahr, especially after her attempt to unjustly imprison the husband?

The deferred dowry is a right of the wife that must be paid to her when it becomes due. As for the furniture of the marital home, whatever belonged to the wife must be returned to her, or its value paid, and whatever belonged to the husband, he has the right to dispose of it. Compensation (Mut'ah) is a right of the divorced woman, and although most scholars agree on its desirability, it does not have a fixed amount. Rather, it is estimated according to the financial situation of the divorcing husband, as Allah Almighty says: "And provide for them, he who is of ample means according to his means, and he who is straitened in means according to his means – a provision of good repute, a duty upon the doers of good." (Al-Baqarah:236).