The Breach - S2-E21
Other mistake: As Archer walks into the sickbay, while the camera pans, you can see a bottle of Crystal Geyser water. I noticed the bottle right away but had to pause it to see the brand. (00:39:00 - 00:40:00)
Other mistake: 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.
Other mistake: 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.]
Fallen Hero - S1-E23
Other mistake: As Archer, T'Pol and the ambassador are having dinner, the Ambassador inquires about who previously occupied the cabin (that she was to be staying in). T'Pol assumes this is regarding concerns about human "odor", but the ambassador says, "Actually I was hoping to meet the crew member in order to thank her for allowing me to disrupt her routine." However, the ambassador has no way of knowing what gender the crew member is, as no mention of this person has been made. Although the crew member was, in fact, Hoshi (who is female), the ambassador would not have known this, and had no reason to refer to the crew member as "her". (00:08:34)
Suggested correction: There are any number of ways the ambassador could know. Considering the ambassador knew it was a crewmember's quarters, it's likely that when she came on board, the pronoun "she" was used in reference to the prior occupant. Or perhaps an item of clothing was left in a drawer.
Additionally, in our culture if a gender is unknown a male pronoun is frequently used, but her culture may use a feminine pronoun as the default.
Other mistake: They show the tether and tether anchor fall out of the ship and fall behind, much in the same way as throwing something out of a car. However, it was still in the warp bubble and should have continued to be moving at warp 5 with the ships. We see later Columbia extend its warp bubble around Enterprise and Enterprise remains at warp 5 after cutting their engines. But, if the tether is no longer affected by the warp bubble, it should have been instantaneously out of view.
Suggested correction: Too much supposition, especially regarding fictional technology.
This correction is too vague and gives no counter argument to support the statement. Either it's affected by the Warp Bubble and stays at Warp 5 or it doesn't. Even with the inconsistency of warp speed, the ship is still traveling 20-30 million miles a second (23.2 million miles a second at standard speed). An object that small would be out of sight within a mile or less (fictional technology or not). Since we know the object isn't traveling at Warp 5 (otherwise it wouldn't fall behind as it did), it would have to be traveling at least Warp 4.99999999 to stay in range as long as it did (a speed never established in-universe). It's also been established in-universe when a ship comes out of warp, it has no inertia so it will not continue to drift. Given in-universe established facts about the fictional technology, there's nothing to support the idea the object is still traveling at Warp 4.99999999 (at Warp 4.9999999 the object would still be out of sight after less than a second).
The Catwalk - S2-E12
Other mistake: The Doctor states that sick bay is the most heavily shielded area of the ship but later in the episode he is trying to move all of his specimens to The Catwalk. If the sick bay is the most heavily shielded area then he would not need to move the specimens.
Other mistake: Just as Malcolm finishes opening the hatch on the alien pod, a graphical mistake appears towards the left side of T'pol's arm. It appears as if a section of the craft had been added with an overlay, which abruptly disappears as the cutting tool stops firing. (00:01:30)
Suggested correction: It doesn't disappear. It just falls into shadow when the cutting beam is turned off.