Kate and Sophie's barracks room is a fair bit nicer and more spacious than those at the actual service academies. It also has a double bed, which is not the norm.
Point Rock's unreasoning dismissal of Kate is unusual compared to how real-life cadets discharged for DADT-related violations were treated around the same time Kate would have resigned; in some cases, at least, administration officials were actually supportive of the cadets in question, as in the case of Katherine Miller.