Other mistake: Teal'c swipes his security card to open a door. The stripe is facing the wrong way, and he really doesn't even get it in the slot right, but The Light still goes green and he opens the door. It is very obvious. (00:26:10)
Plot hole: Huge plot error: Apophis and Clorell (Skara) should not have survived the explosion in Season 2, Episode 1 (when they attack Earth with two ships). In "Family" they explain that Apophis and Clorell survived by escaping through the stargate aboard Clorell's ship moments after Daniel Jackson did the same. However, when Daniel Jackson escapes through it, Apophis and Clorell are not even on the right ship, and there is 1 second left on the C4 timer when Daniel escapes. They actually show Daniel Jackson escape, and then cut to Apophis and Clorell still aboard their ship. So apparently, Apophis was able to "ring" from his ship over to Clorell's ship, make it to the stargate room, dial an address, and escape through the stargate all within literally 1 second. Is this guy related to The Flash?
Suggested correction: That's not what happened or what was said. Daniel suggested Apophis and Klorel used the rings after he did, not that they used the Stargate after him. In "The Serpent's Lair", we see Apophis and Klorel use the rings BEFORE Daniel uses the Stargate. But we don't actually know how much time is meant to be left on the C-4 when they use the rings. They ended up using the Stargate before Daniel did and they never cut to them on board after Daniel escapes.
Plot hole: The last two invisible aliens are in the room with Charlie and "Mother". Since both of them can see the aliens, why don't they warn O'Neill that they are there?
Other mistake: When Teal'c shoots Rya'c with the zat, it is still closed.
Continuity mistake: When O'Neill and Carter arrive at Washington, Carter says "Don't worry, Sir. These were my old stomping grounds." O'Neill replies with "I'm sorry to hear that." But later when the reporter approaches O'Neill in the bar the recording says "My condolences."
Continuity mistake: You hear "chevron four encoded" but the third chevron lights up.
Touchstone - S2-E14
Character mistake: The team are finding out who could have stolen the weather device from Madrona and find an energy spike at the same time SG2 are on a mission. "But SG2's mission is galaxies away from Madrona" Says Teal'c. At this time the only missions the teams could go on was in our own galaxy and couldn't be galaxies away.
Factual error: When O'Neill throws the knife at the system lord at the end, the knife is spinning in the wrong direction.
Touchstone - S2-E14
Plot hole: When half of SG-1 return to Medrona to detonate a charge aimed at the gate, why didn't they just go to another planet? As when they went to Medrona, there was a blizzard going on and they also had the natives saying they will arrest them as they still hadn't returned the Touchstone. Could have just saved themeselves some hassle.
Audio problem: Near the very end, when SG-1 have been captured, Daniel says "it's a good day to die", but the subtitles say that O'Neill says the line.
Touchstone - S2-E14
Plot hole: The NID guys escape because Jack can't kill them. He fires his MP-5 around them to try to make them stop. Is there a reason he didn't bring a Zat gun along? The whole point of this mission was to stop the NID rogue agents without killing them and to capture them if possible. The Zat gun seems tailor-made for a mission like this.
Factual error: During SG-1's trip across the nation they show a city-scape of Chicago. Which is evident by the Sears Tower. But the Sears Tower was not build in 1969. Construction started in 1970 and completed in 1973.
Continuity mistake: In an early scene "Ma'chello" is lying in the infirmary with a oxygen mask on, it cuts to Frasier and O'Neill talking about him, then cuts back and "Ma'chello" now has nose tubes.
The Serpent's Lair (3) - S2-E1
Continuity mistake: When Daniel is shot by a Jaffa staff weapon, the hole in his jacket is very visible. When Daniel comes out healed from the sarcophagus, it has also mended his jacket, but it's shown in other episodes that it doesn't repair clothing.
Other mistake: In one scene, someone over a P.A. says something like "The mountain is now on emergency power and life support." but the subtitles say M.A.L.P (the probe they send through the gate) instead of mountain.
Character mistake: When Hammond and Carter come out of the base, Hammond is told he's been gone 22 hours. Hammond says he's only been gone about 20 minutes. To which Carter says, due to time dilation, time is moving an average of 600% slower and that telling O'Neill to wait 5 minutes would be 6 hours or more. However, 600% is just another way of saying "6 times" and time is slower by about 66 times, so she should have said an average of 6,000%. 5 minutes being 6 hours would be 72 times slower.
Continuity mistake: When Carter gets stuck in the elevator, she's on level 22. Every time the level changed, you can hear a beeping noise and there's no noise after we see 22. But from outside, the doors say 28. It wasn't a cut away shot either.
Visible crew/equipment: Just after Jack says "Whoa, did you guys hear that?" a person in yellow is visible in the background (either in the building, or as a reflection in the window). (00:01:30)
Character mistake: When Daniel Jackson learns about the fact that his wife, Sha're, has returned with a dormant Gua'uld, he does not take her to Thor's Hammer that got repaired in S2E6. Even though he was with Teal'c, that doesn't pose any issues since he is deliberately exempted from the Hammer.
Visible crew/equipment: At the very start in the briefing room, the Trinium is being passed to Sam and Jack as the camera tracks left, and we can see the reflections of standing crew (Daniel, Sam, and Jack are seated) and the moving boom mic on the glass window, towards the left. (00:00:15)