How many times a week may a woman visit her family, and what is the husband’s opinion on that?

Maintaining kinship ties is obligatory. It involves showing kindness to relatives, whether materially or morally. The minimum level of this is greeting them and not abandoning them. There is no specific legal (Sharia) determination for the number of visits; rather, this is influenced by people's circumstances. A husband must not prevent his wife from maintaining her kinship ties, and a wife must not burden her husband beyond what he can bear.