What is the ruling of Islamic law regarding what the wife took from the husband after khul' (divorce at the instance of the wife), including his personal belongings and the gold he bought for her and their daughter, and is she entitled to the deferred dower (mahr) in this situation?

The deferred mahr (sadaq) is a right of the wife and a debt owed by the husband, unless she waives it as part of the khula' (divorce initiated by the wife). If the khula' was concluded in exchange for her waiver of the deferred mahr, then she has no right to it. Otherwise, it remains a debt owed by the husband. As for the household furniture, what belongs to the husband is his, and what belongs to the wife is hers. Jointly owned items belong to whoever purchased them, unless they were a gift. As for the gold given by the husband to his wife, if it was part of the prompt mahr or a gift, then it belongs to her, unless the khula' was agreed upon on the basis of its restitution. It is advisable to refer the matter to the Sharia courts for a ruling. There is no injustice if the khula' was concluded by mutual consent and choice.