What is the ruling on a husband refusing to take his wife to her family's house or bring her back from there on her co-wife's day, despite the wife's desire for this to coincide with the husband's absence, and his excuse being that it is not her day, or that he might not wake up early?

The husband is not religiously obligated to take his wife to her family's house and bring her back on the day of the second wife's turn. It is not the wife's right to deduct anything from her co-wife's day. It is not permissible for the husband to enter upon one of the wives during the day, outside of her turn, unless there is a need, nor to go out for leisure with one of them on a night that is not hers.