Must a husband obey his father in preventing his wife from visiting her family and completing her studies, and is he bound to fulfill the promises and conditions agreed upon before marriage?

If your visits to your family were a condition in the marriage contract, then it must be fulfilled. If it was merely a promise, then, according to the preponderant opinion, it is not obligatory to fulfill, but rather recommended. However, do not compel the husband to it if it causes him harm. It is not obligatory to obey the husband's father in preventing you from visiting your family, because obedience is only in what is good (ma'ruf), and he should respond to his father with gentleness and kindness. A righteous wife should help her husband be dutiful to his parents and strive to strengthen the relationship between him and his family. In summary: Address the problem with wisdom, and try to convince his family of your visits to your own family. As for housing, it is your right upon your husband.