As mentioned in Character Errors, despite being told by Malcolm to turn the insert clockwise Jonathon begins turning it counter-clockwise, then in a subsequent shot he is turning the insert clockwise as instructed.
When the two Romulan ships come to tell the Enterprise to detach the deck plating and leave the system immediately, the Romulan states that they know there is one crewman trapped on the outer hull and eighty-two others aboard. However, Archer is outside with the trapped Reed at the time the Romulan makes this statement.
Lieutenant Reed reports that mine is magnetically attached to the hull of Enterprise. If a spaceship were to be constructed of metal, it would most likely be a lightweight, yet strong metal, such as titanium. Titanium, and other lightweight metals, have almost no magnetic properties, the mine certainly wouldn't have stuck to the hull of the ship if were made of such a metal.
At breakfast, Archer and Malcolm briefly discuss the soccer/football World Cup. The episode takes place in 2152 and unless there is a change in the current schedule (which is possible considering WWIII was fought in the 2050s) there won't be a World Cup in 2152.
An occasional bug can be seen flying by when Reed and Archer are working to defuse the mine. There would be no bugs flying around where there is no atmosphere.
In Balance of Terror (1966), set in 2266, the Federation did not know that the Romulans have a device to "cloak" their ships and weapons. If the NX-01 reported it in 2152, the NCC-1701 would have been expecting it.
English people usually say anti clockwise rather than counter clockwise although things can change by the 22nd century.
Malcolm tells Captain Archer to turn the wheel on final protrusion of the mine clockwise, but when we see Archer turning it, his hands clearly move counter-clockwise.
Hoshi listens to a recording and repeats the term Romulan but noticeably mispronounces it. T'pol corrects her. Being a prodigy with languages, it is unlikely that Hoshi would grossly mispronounce a word she had just heard.