What is the ruling on a father differentiating between his children in housing and depriving one of them of it, and what is the ruling on a husband proceeding with construction in his father's house despite the opposition of his wife and family, and the father demanding his son and daughter-in-law to leave the house to accommodate his other married son?

Your husband's father is not obligated to agree to you living with him. It is more appropriate for your husband to secure a residence separate from his father's house to avoid disputes. A wife has the right to an independent dwelling.

It is not permissible for a father to favor one of his children with a gift unless there is a need; in such a case, it is permissible to give the needy son what fulfills his need.

If one of the sons needs a dwelling and others do not, it is not permissible for the father to transfer ownership of the dwelling to him; rather, he should allow him to reside in it while the dwelling remains in the father's name.