Wearing a wig

Q: Is it permissible for my friend who is a cancer patient to wear a wig, due to hair loss on his head?. I have heard that it is permissible for females to wear synthetic wigs. Will the same apply to men?

Wife going overseas for a business trip without the permission of the husband

Q: If a wife leaves for another country for more than 10 days for work with out her husband even though work is not relevant to support the home or personal expenses. It's just for outing and career development. After the husband forbade her from going, if the wife did not listen and left home without any mahram, what does such a wife deserve from the husband or what is the punishment according to Shari'ah for such a wife?