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.
Character mistake: After Rosemary has the baby and they tell her it died, she calls them liars. They give her an injection and she passes out. When Guy comes back, he says that the Doctor says she was suffering from prepartum (not an actual word) symptoms. It would actually be postpartum.
Suggested correction: Actually, it depends on which time her 'crazies' were from. If Guy was referring to how she acted while still pregnant, then pre-partum would be correct. If referring to her tantrums after the birth, then it would be post-partum.
The post starts. " After Rosemary has the baby...".
Character mistake: A space traveler would not be "going to Orion." The major stars in Orion vary in distance from the earth from 243 to 1,360 light years. Orion is only a constellation as visible from Earth; once you get away that far, the stars would not be in the same alignment as they are from Earth. They would have been going to a specific star, probably Bellatrix at 243 light years, as Taylor mentions being at 320 light years.
Suggested correction: I'm not sure what scene you're referring to, but I never heard anyone say they went to Orion. Taylor says they're on a "planet in orbit around a star in the constellation of Orion. That could be Bellatrix." To Taylor, who is from Earth, the star is still in the constellation of Orion.
I agree with your take, but I still think it could be interpreted as Orion's stars all being in close proximity. And I would hope they would know about the 320 - 243 light year issue.