Does the husband, or the wife's family, have the right to decide on the wife's wearing of the niqab, given that the wife desires it and the husband agrees, but her family rejects it, and she is still in her family's home after the marriage contract and before consummation?

If the wife is still in her parents' home, she must obey her father in what is good and lawful. However, she is not obligated to obey him if he tells her to remove the niqab, especially if she believes it is obligatory. It is advisable to deal with this situation wisely, persuade the father, and treat him with dutifulness, seeking Allah's help and supplicating for his guidance. It is also recommended for the questioner to expedite his marriage to his wife so that they can cooperate in obeying Allah.