The United States flag patches on the orange jumpsuits' upper backs are facing the wrong way, with the starfield on the upper right. US flag display rules would place the starfield on the upper left corner of a flag on the back of a uniform.
Before they have sex, Jane says she needs to do some long neglected personal maintenance, and is then shown shaving her legs and armpits. But prior scenes show her with perfectly smooth legs and armpits.
Jane foolishly shaves her legs and armpits with a sharp razor, running the risk of an infected cut, knowing full well that she is already suffering a life-threatening infection from a previous cut on her leg.