When Seven reads off Paris' vital signs, the tricorder provides his body temperature in Fahrenheit. Since the metric system is used in all other Starfleet units of measurement, it is unlikely body temperature would be any different.
When Seven and the Doctor participate in the holodeck crew mingling program, they rush out for a ship emergency. They hurriedly exit through the mess hall doors, but they're not really in the mess hall. They should have exited via the holodeck doors. Although it has been shown through a number of holodeck simulations of certain rooms, both on and off the ship, that the holodeck exit door is quite often just beyond a door in the program, the program can include the full room (presumably).
With approximately 41 minutes left in Voyager's journey through the nebula, the propulsion systems begin to fail and Seven must reroute power from the stasis chambers to keep them operational. Voyager is in space. Objects in space will continue traveling, theoretically forever, unless acted upon by an outside force. Voyager should have been able to coast the rest of the way through the nebula without losing much, if any, speed, with no need to risk the lives of the crew.
Seven refers to the nebula as the "Mutara Nebula," which was destroyed by the Genesis Device in Star Trek II - Der Zorn des Khan (1982), which means it neither exists nor was in the Delta Quadrant. Actually, a "Mutara" nebula is a class of nebula rather than the name of one particular nebula, which means there could be many of them throughout the galaxy.
Seven's first log entry is on StarDate 51929.3, on the 10th day of Voyager's trip through the nebula. Her second log entry is on SD 51932.4, which she says is the 29th day. The Star Date only went up by 3, but 19 days elapsed on their trip. Her second log entry should've been on 51948.
The premise is that they have to go through a nebula that is too big to go around once they're next to it. They would've seen a nebula this big from a far distance, and would've been able to avoid it by a small course correction months before.
While in engineering, when Seven fires a phaser rifle at her imaginary foe, the door behind her imagined target should be singed; yet, when we see it moments after the doctor arrives, there are no burn marks visible. There is nothing in the scene to suggest that anyone or anything but the alien was an hallucination. The phaser rifle was real and Seven really fired it, so the door should be burned.
With the Doctor being as thorough as he is, one would think he would have thought to replicate one more stasis bed just in case Seven of Nine needed it.