When the crooked cop is stabbed while in the stuck subway turnstile, he is shown holding his badge in his hand. Since he only thought the turnstile was jammed and was attacked from behind, he would have had no reason to pull out his badge.
Dr. Borman is shown scrubbing up for a surgery, he then scratches himself and then puts his scrubs on. This would possibly lead to infections in his animal patients. He should have had his scrubs on before he scrubbed up for surgery and should never have scratched himself after.