Plot hole: Throughout the show, we see Vulcans sweating. In the Star Trek universe, Vulcans don't have sweat glands.

Continuity: Trip finishes his drink, but in another shot, the glass is full again.

Continuity: In the scene in T'Pol's quarters, after she and Tolaris have mind melded and she asked him to leave, he walks out, and the door starts to close before the shot changes to T'Pol. But when the shot changes, the light from the door on T'Pol shows the door still opening, and then closing.

Continuity: When Hoshi returns to the ship, Archer says in his log that Trip and Malcolm are taking her back to Enterprise. Trip wasn't on the planet: the landing party was Archer, T'Pol, Hoshi, and Malcolm.

Plot hole: In 'Oasis,' several times in the episode, specifically when they took Trip captive, the holograms appeared out of nowhere brandishing weapons. The holograms can walk through walls, which we saw, but the guns were real. We saw them hit the deck when Liana deactivated the holograms. So how did they appear with the guns?

Factual error: New twenty dollar bills are visible in the tip jar, despite the fact that the Vulcans crashed on Earth in the 1950s.

Continuity: When Reed instructs Archer how to disarm the second arming mechanism of the mine, he tells him to turn the first component clockwise, but then Archer is shown turning it counter-clockwise. Then Reed tells him to turn the rest of the components counter-clockwise, but afterwards he must reverse the last component to keep the mine from rearming, which means turning it clockwise. But when Archer reverses the last component, he turns it counter-clockwise.

Continuity: T'Pol says she has never been camping, but she went in "Strange New World."

Continuity: Archer says he doesn't remember T'Pol being attacked in "Fusion." But in that episode, he lured T'Pol's attacker into his cabin, got into a fight, and threatened him with a phase pistol because he knew the guy assaulted T'Pol.

Continuity: Admiral Forrest says this is the "first time" the Vulcans have asked Earth for help. But they asked Earth for help in "Fallen Hero."

Other: Two Borg are discovered North of the Arctic Circle. One is covered in ice, the other encased in ice. Carbon dating shows the wreckage to be over 100 years old (to tie it in with Star Trek:First Contact). The Borg are inactive and unable to repair themselves until they are "defrosted". The temperature above the Arctic Circle doesn't usually drop below -100°F. The Borg have been shown to work very well in the vacuum of space which is 3-4K (roughly -454°F). If they can survive that, even being frozen in a solid block of ice would not slow them down. The nanites have to be in their "blood" and operate at the cellular level. That cannot be damaged by re-entry and the crash. [This is one of those entries that keeps being corrected and recorrected - I'll leave it up to people to make up their own minds.]

Visible crew/equipment: In the episode, "Anomaly," at the beginning, when Phlox is looking at his animal cages, you can see a string or wire attached to one of them, presumably the means by which the cages are shaking.

Continuity: In the episode, "Exile," Enterprise stops at 75,000 Km from the sphere and when Archer is radioing back he says the are, "79,000 km and closing."

Other: When Captain Hernandez gives an order to her helmsman, she says "lieutenant". But the helmsman has only one pip on her uniform, she's an ensign, not a lieutenant.

Continuity: In Engineering, Trip calls Commander Kelby "Lieutenant."

Continuity: The Avenger attacks the Defiant's saucer section, but later, no damage is visible in this area.