Corrected entry: They're often trying to figure out who is on the plane, but it would seem pretty easy to determine just by asking questions about innocuous things, such as the layout of Sydney airport, what food/movies they had on the plane, a description of the check-in counter, etc. There are probably hundreds of possible questions that someone who wasn't there wouldn't know.
Corrected entry: Fairly near the beginning of this episode, just after the guy gets sucked into the engine, in the next shot, where the camera cuts to Jack caring for Claire, look carefully above the engine in the background just before it explodes. You can see what looks like a black cloud of smoke fly down to the engine and then fly up really fast - within split seconds it explodes. It is best seen in slow motion. Without wanting to give too much away about the rest of the series, this cloud of smoke appears at least once more during the series (in the finale) and is apparently linked with the 'monster' in the jungle - although all will be explained in series 2.
Corrected entry: During the 'flash forward' when the Asian woman is having her baby, the doctor suddenly comes in and orders the nurse helping her to 'just give her something for the pain'. A doctor would never do that. A nurse is not allowed to give a patient medication without a strict, specific drug order from a doctor or Physician Assistant. In fact, a nurse would probably lose her license if she did.
Corrected entry: Season 4, "The Economist" - When Sayid looks over at Naomi's body, her eyes are closed. However, later on he walks over, bends down, and gently closes her eyes himself. I know things are freaky on this island and dead people might not necessarily stay that way (wouldn't be the first time someone we thought was dead suddenly showed up), but I doubt Naomi's eyes popped back open on their own.
Corrected entry: When Jack is playing cards with Sawyer, Sawyer deals too many cards to Jack. He deals him two, and then deals him at least one more. Neither said anything and they were going to play with them, and they're both au fait with the rules, so it's not a character mistake.
Corrected entry: Boone's job appears to change halfway through this episode. In the pilot he tells Jack that he's a licensed lifeguard. This still seems to be true at the start of White Rabbit, because he is the one who swims out to save Joanna. But later in the same episode, he mentions that he runs a business, which is elaborated on later: he tells Locke about his mother's wedding supply chain stores. The lifeguard job is never mentioned again.