Definitely. One of the common themes could be redemption. Maybe the daddy has some past mistakes that led to Bill the demon coming into their lives, and through his efforts to protect his kids and the deal he makes, he is seeking redemption. Another theme could be the discovery of hidden strengths. The kids, who might seem ordinary at first, could discover they have special powers or abilities while dealing with Bill, which helps them in their fight against the demon and in protecting their family.
Yes, one theme could be the struggle for power. Bill the demon might be after power in some form, and the daddy and his kids are in the way. The deal then becomes a way for Bill to gain an upper hand. Also, the theme of family loyalty is likely to be present. The daddy will do anything to protect his kids, and the kids might also show great loyalty to their father in the face of the demon's threats. They would stand together against Bill's schemes.