Factual error: Tru arrives "more than three hours late" for the MCAT and then begins the test. Firstly, it would be pointless for her to even bother going at that time, since she'd have already missed the entire Verbal Reasoning section and possibly the Physical Sciences as well (depending on how much more than three hours she was late). Secondly, that's really a moot point since late arrivals to MCAT testing centers are not permitted to take the test.
Character mistake: At the end of the episode, after Sarah has been tricked into revealing her plan and is rather obviously going to go to jail, Tru tells her that she "should have taken half," meaning that she should have settled for half of Andrew's money in a divorce instead of trying to get all of it by having him murdered. But Tru seems to be forgetting that Sarah has been trying to divorce Andrew all along, and it's Andrew who has stood in the way of that. Sarah would evidently have been perfectly happy with half, but Andrew prevented it from even being on the table for her, so Tru's comment doesn't make any sense.
Continuity mistake: The second time the day happens, the man stands up in the restaurant to profess his love to his girlfriend almost immediately after the waiter drops his tray. There is only about ten seconds between the two events, but the first time it all happened, there was a gap of nearly thirty seconds.
Past Tense - S1-E4
Plot hole: When Lindsay brings Tru breakfast in bed on the second version of the day, she is excited that Tru remembered her birthday, and she also mentions that nobody else did. But it's still very early in the morning. It's not at all reasonable to assume that anybody forgot her birthday just because they didn't call before 8am.
Continuity mistake: When Tru and Harrison talk on the phone near the beginning of the day's second incarnation, it is pouring rain where Harrison is, and he's standing under an awning. It's not raining by Tru - or at least not enough to be noticed by the camera or to get her wet, which isn't a problem in and of itself, except that everybody around Tru is carrying umbrellas for some reason.
Plot hole: The invigilator at the MCAT tests is sloppy. You can't hand somebody paper, even if it's only a tissue, during the exam.
Plot hole: There is never any explanation of how the MPs find Jake at Bridget's house. He had apparently been at her old house for hours (if he went there directly from the hospital) without the MPs finding him there, so they must not have been following him. Tru managed to find out her new address, and somehow the MPs found him there, even though they didn't know anything about Jake's relationship with Bridget.
Star Crossed - S1-E6
Revealing mistake: About twenty minutes into the episode, Tru sits down next to Jen. Jen says, "I saw you in line in the cafeteria." Tru, with her hands at her sides, says, "Tru." Jen says, "Jen," and raises her hand to shake, at which point Tru reciprocates. But how did Jen know that Tru was introducing herself? After all, pretty much nobody else is named Tru, so in context it would have sounded like Tru was saying, "True," as in, "True; you did see me in the cafeteria."
Past Tense - S1-E4
Factual error: Davis tells Tru that glucagon is a substitute for insulin in diabetic emergencies. In actuality, it does exactly the opposite of insulin, raising glucose levels in the blood while insulin lowers them.
Past Tense - S1-E4
Plot hole: Meredith is subjected to a random drug test at work. However, the drug test is announced late at night. Tru is already working her "graveyard shift" at the morgue, so we know the regular workday is over. Hardly anyone would be in the office. Therefore, it doesn't make sense for the company to be administering this drug test, said to be requisite for all employees, at that time.
Plot hole: Justin is a police officer. As a result, his actions at the end of the day the first time it plays through make no sense at all. His girlfriend tell him that she has shot Nicole, and that the crime will be pinned on him because she used his gun. But he knows that there will be no gunshot residue on his hands, and there will be on hers. He knows that his whereabouts were accounted for at the time of the murder, because he was at the diner in full sight of any number of people. He knows that there is not a single shred of evidence aside from the gun, which has his girlfriend's fingerprints all over it anyway. If he were to simply arrest her now, there's no way she wouldn't be the one to go down, rightly, for the crime. Instead, he decides to tamper with the corpse and shoot two bystanders, in order to protect his innocence. It makes no sense at all.
Past Tense - S1-E4
Plot hole: Meredith submits to the drug test at her office. In the next scene, which takes place later the same evening, Harrison tells Tru that Meredith's test came back positive and she was immediately fired. But it takes at least 24 hours to get a result from a urine test at all. If the test is positive, the sample must be subjected to a more thorough examination. It usually takes at least 72 hours to get the results in that case. There's no way Meredith's positive results could have come back in less than six hours, even if a lab had been open late in the evening.
Star Crossed - S1-E6
Plot hole: Harrison and Lindsay hooking up was pretty much a given, based on the course that events took in the episode. But why were they doing it in Tru's apartment? Harrison and Lindsay each have their own apartment, so the only reason for them to be on Tru's couch is for entertainment value.
Audio problem: When Lindsay learns that Tru has broken up with her secret boyfriend and met another guy the same morning, she jokingly whispers to her, "You little slut." The movement of her lips doesn't match at all.
Past Tense - S1-E4
Plot hole: John is slightly surprised to find that Tru is acting as bartender for the party, but doesn't dwell on it any further once she explains that she was supplied gratis to make up for the earlier "problems" with the room. But John should actually be extremely alarmed to find her there, given that he poisoned the ice and expects the other guests to drop dead. He certainly wouldn't want any witnesses to that.
Factual error: Both Tru and Davis refer to the petechial hemorrhaging (i.e. the bleeding behind Paige's eye-lids) as 'petechial imaging' at least twice in the episode which is very shabby given their experience working in the morgue.
Plot hole: Tru and Lindsay are making all their plans for the reunion on the day of the event, including whether or not they will attend and whether or not they will bring dates. But a high school reunion requires an RSVP in advance, just like a wedding or bar mitzvah. So they should have had to figure out their plans weeks earlier.
Continuity mistake: The first time Tru lives the day, she has breakfast with her brother first thing in the morning. Harrison goes to put sugar in his coffee and the lid falls off. The second time, they go out together much later (after Tru goes shopping with Lindsay), and Tru manages to grab the sugar lid just before it falls off. But people have been eating at the restaurant all day, so it's not at all likely that the lid would still have been loose. Plus, the same patrons are seen in the diner even though it should be a completely different crowd.
Plot hole: Why did Tru have the reunion invitation on her desk the morning of the event? It seems as if she had received it that day, since Davis asks if she's going and she says no and throws it away. That's something you'd do with the invitation upon receiving it and deciding not to go. But it doesn't make sense for the invitation to have gone out the day of the party.
Chosen answer: The next episode shows that Tru didn't meet Luc after all, even though she should have been in work by the time he showed up. I think the answer is that the writers don't actually know.
DavidK93