Is she sinful for her reaction, which she justifies by her husband breaking his promises, and does he have the right to prevent her from spending the night at her sisters' homes or leaving the house except with her mother, and changing her real name on Facebook, and must she obey him in everything he commands, even in what is permissible?

If the husband agrees before the marriage contract to the wife's conditions, such as teaching the Quran and completing her studies, he must fulfill them; otherwise, he is doing wrong. The wife is not permitted to respond to his wrongdoing with wrongdoing or to raise her voice at him, because that constitutes nushuz (disobedience/rebellion) and contradicts the husband's qawamah (guardianship/headship). She must be careful not to repeat that. It is the husband's right to prevent his wife from spending the night at her sisters' homes or from leaving the house unless with her mother, and she must obey him in this, unless there is a legitimate reason for her to go out without his permission. Obedience to the husband in forbidding the writing of the real name on Facebook is obligatory, as social media is a door to fitnah (temptation/strife). The wife's obedience to her husband is restricted to matters of marriage and its related affairs, and it has been said: it is obligatory in everything that does not involve disobedience [to Allah]. Praiseworthy jealousy is that which is motivated by suspicion, and dialogue, understanding, and mutual respect must prevail between the spouses, and the husband must help his wife maintain ties of kinship.