Patzer

The little boy Tom Paris has brown eyes, the adult version has bright blue.

A leak at 600 KILOMETERS below the surface of a water mass would have resulted in the deaths of all of the shuttle's occupants.

Either the immediate internal air pressure increase would have caused severe injuries to the occupants. Or the atmosphere inside would have been pressurized to incandescence and burned the occupants to death.

After Tom is released from the brig, B'Elanna calls him in his quarters and "orders" him to have dinner with her, but she says for him to meet her in her quarters at 0700 hours, which of course is 7 AM, not 7 PM (a more usual time for dinner). She should have said 1900 hours. All true, except as shown, the ship appears to be in evening lighting (Brig and hallways). This might indicate that Tom is released during the third shift's watch, in which case B'Elanna is talking about dinner when she finishes her shift. This could be at 0700.

Paris is sentenced to thirty days "Solitary Confinement," but he's allowed visitors and electronic devices and is in an open cell with a guard in the same room. This does not meet the criteria for solitary confinement. Solitary confinement involves isolation and confinement with next to NO human contact, hence the word solitary. However, the concept of solitary confinement in the far future may not be quite as strict or psychologically damaging as it currently is and may simply mean a person is deprived of their freedom and contact with friends on a more general level.

When B'Elanna tells Tom that he's found a cause, he says that he never thought of himself as a "cause kind of guy;" however, the pilot episode established that Paris had served with the Maquis; however, Tom made it clear in the pilot that he was in the Maquis only for the money, in other words, as a mercenary. This was why Chakotay and B'Elanna didn't trust him in the beginning. No one thought of him as a "cause kind of guy."

Without an atmosphere and a magnetic field, there would be nothing to prevent the ambient radiation from space from killing everything in the rogue ocean. Since it has neither an iron inner core or a molten iron outer core, there would be nothing to generate the necessary magnetic field to protect the mass. However, the ocean is the product of advanced alien technology, which even the crew of Voyager are in awe of. There is every possibility that the containment field that is generated to keep the ocean in place would also handle the problem of cosmic radiation.

There have never been toilet facilities in any of the cells in the brigs of starships, with the exception of the brig of the Enterprise-A seen in Star Trek V - Am Rande des Universums (1989), where the toilet emerges from a wall panel and is used as a seat. However, just because we don't see Paris using a toilet doesn't mean there wasn't one there.

When the first communication with the Moneans occurs, Burkus gives his title as "Deputy COUNSEL Burkus," but the subtitles refer to him as "Deputy CONSUL Burkus." While a counsel (counselor) is an advisor to a political figure, a consul is a diplomatic figure and more likely to be Burkus' role.