Paris states that deuterium (heavy hydrogen) is found almost anywhere; yet, in episode "Demon," he and Kim chance going down to a Class Y planet to find hard-to-find deuterium.
After losing their warp drive, the warp core shuts down but the warp nacelles still glow blue as though the warp drive is still on-line. The glow given off by the warp nacelles is the glow of the warp coils when energized. With the warp core down there is no way to energize the coils, so the nacelles should be dark.
As Voyager gets pulled into the void, Neelix and a crewman fall to the ground in the mess hall while the large dining table topples over from the turbulence. A flimsy serving cart next to it doesn't so much as wobble.
When Voyager is first attacked in the void Chakotay says "They've transported materials off decks 5,7, and 8." Before that it's shown that materials are being transported off deck 11 in Engineering as well.
Neelix seems to forget that he has a ship of his own in the cargo bay. Since they need deuterium to power the warp engine, nobody raises the fact the his engines could have provided it for them.
The lights on Voyager shouldn't take more than a minor amount of the total power. It doesn't make any sense to turn them down while still using shields, replicators and weapons.
The Doctor repeatedly mispronounces the French name Fantome. His pronunciation sounds almost Italian.
The ship Valen is on is reminiscent of the Kraylor ship nightingale from the seventh season's "Nightingale". Valen is Annari therefore he should be on an Annari warship not a Kraylor vessel.