While talking to Dr McCord the medal ribbon is stuck under a gold button, in the next frame it's back on top of the button.
In the background at Major Jenkin's Medal of Honor ceremony there are 3 individuals in uniform all wearing the Medal of Honor. One is a woman. There has been only one female Medal of Honor recipient. She was a surgeon during the Civil War. (Though in fairness, this IS fiction, so some license should be allowed.)