Saving Private Ryan

What are the concepts of the natural lottery and moral luck, and how are they represented in the film? Does the gritty realism of the film’s opening sequence morally contextualize the choices Capt. Miller and his squad make during the film with regard to POWs? Is it fair of Capt. Miller to demand, with his last words, that Ryan “earn it” as he dies after defending the bridge? Did Ryan satisfy that demand? Is this final demand from Miller representative of a message from members of US armed services to the country they serve?