What is the ruling of Islamic law regarding the dispute that arises between a husband and his wife's father, and the resulting jurisprudential rulings concerning the mahr (dowry), nushuz (disobedience), and talaq (divorce), in the absence of an Islamic court, and without the consummation of the marriage?

The conditions that are binding upon you are those that were agreed upon before or during the marriage contract. As for new conditions introduced after the contract, they are not binding upon you. Regarding the condition of housing, the wife has the right to independent housing. However, if she agreed during the contract to reside with the family, she is obliged to fulfill this, unless it results in harm. If the wife requests to be taken into conjugal life and offers herself, you must accept her. If she refuses to be taken into conjugal life after you have fulfilled the initial conditions of the contract, she is considered disobedient (nashiz), and the rulings pertaining to disobedience apply to her. You then have the right to divorce her or to refrain from divorcing her until she returns what you have given her.