The clock in Dr. Borman's interrogation room reads 12:20 PM, but when Goren, Eames and Carver step into the hall a moment later it's suddenly 3:45 PM.
Dr. Borman is shown scrubbing up for a surgery, he then puts his hands on the edge of the sink, coughs and spits into the sink, 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 or touched anything after, plus coughing and spitting like that would require him to re-scrub.
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.