Does the wife sin and deserve punishment if she leaves to visit her relatives without her husband's knowledge, given that the husband does not spend the night with her, does not give her marital rights unless asked, prevents her from visiting her family, hits her if she disobeys him, and refuses to fulfill her requests while fulfilling the requests of his first wife and traveling with her?

The husband must be just among his wives regarding overnight stays. However, he is not obliged to equalize them in gifts, dowry, or housing. He must fulfill each wife's right and spend on her in a reasonable manner. The dowry is an exclusive right of the woman. Part of living together amicably is that the husband should not prevent his wife from visiting her family. However, it is not permissible for the wife to leave her husband's house without his permission, except out of necessity; otherwise, she would be disobedient (nashiz) and sinful, deserving punishment. Likewise, the husband has the right that his wife should not permit anyone to enter his house except with his permission.