Goofs

Tuvok states that the crew complement of Voyager is 152. This is where it stood at The 37's (1995); in the three seasons and plus since, Kes has left, anywhere from 17 to 25 crewmen have been killed, and only Seven of Nine has been added to the crew (by contrast, Paris mentions that they are 50,000 light-years from the Alpha Quadrant, which takes into account the 20,000 light years Voyager has traveled since the beginning of the series).

There are several miscalculations with the time differential calculations. Following the ratio that Captain Janeway provided (0.4744 sec : 1 hr):

Janeway tells the away team that she'll activate a transport beam in 30 minutes. Using the ratio, this would be 2 days, 15 hours, 14 minutes, and 16 seconds. The calculation that Tuvok makes for the transport time is 2 days, 11 hours, and 47 seconds. Subtracting the age of the comm transmission (9 hours real time:4 min 16 sec their time) that Paris detected, the time could be shortened down to 2 days, 15 hours, 10 minutes. This is still 4 hours off.

After getting probe telemetry, Janeway and Chakotay note that 3 months of data from the probe. Yet Paris twice stated that they were in the distortion for only 2 months.

During the epilogue, Paris complains that his two months away from B'Elanna was only 2 days for her. At the most, it was 20 hours for her. (One hour initial missing plus one hour of initial probing plus 18 hours later the aliens returning to close the rift equals 20 hours.)

Supposedly trapped for weeks, neither Tom nor Tuvok needs a haircut when they return to Voyager.

When Tuvok removed Noss's face covering to have Lieutenant Paris treat her she has a scrape on the right side of her cheek. During the attack when those aliens attacked her she got punched on her left side.

Noss goes from knowing no words of English to being able to speak in simple sentences ("The hunt was good.") within a matter of minutes. We see this from the perspective of the away team, not Voyager, so the temporal displacement does not account for this. Likewise the doctor's universal translator does not account for Noss speaking English when he is deactivated or otherwise not present.

Tuvok reaches up to remove Noss' facial covering. Granted, she lets him do this, but, initially, he had no way of knowing if this covering had religious significance, as it does in some earth religions.

After being offline for 2 months, the doctor is surprised to learn how much time has passed. Because of his programming, he would have been aware of this, much like Data would have been aware in Star Trek: The Next Generation (1987).