Character mistake: After Fleming has murdered his wife, he warns his girlfriend not to touch anything in the apartment, but he hands her a drink which he already prepared for her. At his direction she also makes a telephone call, holding the receiver with a cloth he hands her, but dialling the number with her bare fingers. On top of that, he hands her a pair of gloves after she has made the call - she would have touched or handled all sorts of things in the room by then. Why didn't he hand her the gloves as soon as she stepped in the room?
Suggested correction: This is a subtle hint that Fleming is preparing to frame his girlfriend for the murder. He would admit to having an affair with her (not a crime) but is going to deny any involvement in his wife's murder. (SPOLER ALERT!) Later he makes it clear that his girlfriend meant nothing to him and he didn't care that she had committed suicide (or so he thought).
Nowhere in the episode is this sub-plot explored or even mentioned.
Not only that, but the idea he was going to subtly frame his girlfriend doesn't make sense because he used her to establish his alibi. He tried to make it look like she was killed by an random intruder.
Corrected entry: In the scene where the doctor smashes the glass on the sliding door near the lock when setting up his alibi he correctly does so from the outside but leaves the door open. With the door closed It would have been obvious to anyone seeing where the glass had fallen that the door was open when the break-in was done so making it an inside job.
Correction: You smash the glass and use the hole to open the door. Then you can just walk in there. You do not have to crawl over the splinters.
