First of all the question about all the responsibilities of fathers family members I guess you are married or family members. Generally, responsibilities may vary among family members and there are many libraries about these as well. However, I can help you with a general idea.
When it comes to housework, the father is usually taken responsibility for the organization of the house. His other responsibilities may be house management, security, maintenance etc. Usually mother or father is responsible for providing food, teaching children, health care etc. And the other members of the house are responsible for maintaining the house and keeping it clean.
More important responsibilities may be health and medical duties, financial management, educational and career counseling, religious duties, social duties, etc. Your family may also be responsible for developing your own marketing and ownership, your wealth and property, and all your family members' responsibilities. Your family should have a division of duties among themselves regarding household management, activities management, financial management, health care, children's education etc. Also, family harmony and happiness should be fostered by establishing harmony and cooperation among family members.
You can discuss the responsibilities of your family members and seek help from your family members to solve problems. Considering the characteristics and responsibilities of family members, equal share should be considered for everyone in the family so that the problems can be solved.

