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?

Inheritance

Q: In the case of two brothers who have been entitled to a property as inheritance from their father, each brother got 50%. Thereafter one brother owed the other brother quite a sum of money which amounted to his half share of the property. The other brother then asked for this brothers share in the property as a settlement for his debt. In desperation, he signed over the share. Was this correct that he had to sign over his inheritance for the sake of paying back a debt or should they have worked out another way to pay back the debt? Is it fine to take inheritance?