Hector: Military over Family?

Hector fights for Troy out of a sense of responsibility to his city and family. The reader gets a sense of Hector's devotion through his interactions with Andromache and their infant sons, Skamandrios. Hector shows a strong sense of devotion for his family, but continues to fight in the war because he knows that if he falls on the battlefield, Troy and his family will fall soon afterwards. He risks his life instead of staying with his family because he knows that his life does not matter because he is the only thing standing between the Greeks and Troy burning. Homer forces his characters to choose between their loved ones and their quest for kleos, with the majority of characters choosing the later.
Hector longs to spend his last moments with his family, but he knows that his family needs him on the battlefield. Andromache pleads with Hector not to risk orphaning his son, but Hector knows that fighting among the front ranks is his place because "I have learned to be one of the best, to fight in Troy's first ranks, defending my father's honor and my own" (6. 467-469). Paris, on the other hand, chooses to spend more time with Helen than on the battlefield, which the readers and the author showing disdain towards Paris' decision to spend more time with family rather than fighting. Hector knows that he is most needed on the battlefield because he symbolizes Troy's security.
Hector chooses the battlefield and his death over his own family because he knows he is the only thing preventing their deaths and the fall of his city. Although Hector loves his family, he never loses sight of his responsibility to Troy. He faces Achilles on the battlefield, against unmeasurable odds because he knows he would lose because he knows it is the last ditch effort to possibly save his family.