In an early voice-over, the Enterprise is reported to have traveled to "The Barrens, an area of space at least 100 light years from the nearest star system." However, this means the journey from Earth (where the Enterprise picked up Emory and Danica Erickson) is at least 100 light years. In Season 3's The Expanse (2003) and The Xindi (2003), it was established that a voyage of 50 light years would take approximately three months. Therefore, the Enterprise must have been traveling at least 6 months at maximum warp to reach this position, but no one on board acts like they have been traveling for at least half a year.
Emory Erickson uses an old-fashioned manually operated wheelchair, yet the design of the Enterprise's doors (whose openings aren't flush with the floor) makes the entire ship wheelchair inaccessible. How does Erickson move from one compartment to another if his wheelchair cannot go through doors?
Archer is talking to Emory, and recites a quote that his father told him before entering flight school. However, in Cold Station 12 (2004) or The Augments (2004), Archer tells Phlox that his father died when he was age 12.