The American military flag is worn with the blue field facing forward. The rule of thumb has always been that it should be placed in highest position on your uniform, and this means having all stars point towards you from their own circle around a central pole landing-site (right shoulder).
The American flag is always carried to the right of other organizational flags like those from military branches or navies. When ceremoniously waved during marches, processions and ceremonies it's place as we know now by protocol would be on its own separate pole at an individual marched ahead if there are two people carrying them which means that both individuals must hold onto this free end while walking with palms facing forward so no part touches their bodies but instead stretches out between them forming almost looks like a letter "T".
The regulation states that all soldiers will wear the full-color U.S flag embroidered insignia on utility and organizational uniforms unless deployed or in a field environment, with subdued tactical flags worn while being so. The navy blue color has been muted for these types of garments due to its visibility during night time hours when compared against other colors such as infrared which are invisible.
The backward American flag on Army uniforms is to make it look as though the person wearing it moves forward. The idea originated during the Civil War when both mounted cavalry and infantry units would designate a standard bearer, who carried their flags into battle; this caused them to stream back due to his or her momentum charges towards enemy lines.