Is the husband entitled to force his wife to increase visits to his family or to stay overnight with them, and is the wife considered disobedient if she does not obey him in that?

You are not religiously obligated to visit your husband's family or to stay overnight with them. Your obedience to him is not absolute; rather, it is restricted by the limits of Islamic law, such that his command should not be harmful to you and should relate to the marriage and its associated matters. Nevertheless, it is preferable for you to fulfill his desire if there is no harm or corruption involved.