Explain Hector's motivations in his position as a warrior and his responsibilities at home and to his wife.
The original question had to be edited. Hector's motivations as both a warrior and man of family help to illuminate his truly tragic condition. His motivations in both realms are extremely compelling. There is little negotiation in this collision of motivations that are equally desirable, but ultimately incompatible. Hector's motivations are what makes him human and a character of the highest of nobility in Homer's rendering.
There are strong and intense motivations for Hector to defend his country and stand for the honor of Troy. For Hector, these motivations are the reasons why he fights. They provide a clarity in his action. Hector stands for his men and the soldiers who live and die for Troy. His motivations to honor these men and his selfless commitment to defend Sparta are immediately juxtaposed with his commitment towards Andromache and his child. For Hector, his love of them is as pure as his love for Troy. The position he holds as a Classical warrior is only matched by the position he has as a husband and father. The motivations to do right in both realms is where Hector's tragic condition is illuminated. In this, Hector becomes one of the most human characters in the work because of the equally compelling set of motivations.