To what extent is it valid and permissible for a husband to say that honoring parents is exclusive to men and not women, and that the wife should not visit her family, and that it is sufficient for them to visit her?

Maintaining kinship ties (Silat al-Rahim) is obligatory. The one who truly maintains ties is he who connects with his relatives even when they sever ties with him. Maintaining kinship ties includes both men and women. A married woman is not permitted to leave her house except with her husband's permission. However, a husband does not have the right to prevent his wife from communicating or corresponding with her relatives.