The Friendship One probe, launched in 2067, could in no way reach further than the solar system's own Oort Cloud, let alone the Delta Quadrant by the late 24th century.
The baby born in the cave has no umbilical cord, but it is of an alien race that may not have this anatomical feature.
The Friendship One probe, launched in 2067, bears the Starfleet arrowhead emblem. The Trek time line has established that this emblem was a mission-specific one assigned to the Enterprise in the 2260s and wasn't adopted by the whole of Starfleet until after then.
When the origin of the nanoprobes used to treat him is revealed as being in Seven's bloodstream, Otrin asks if there are others like her in the crew. Seven replies no and that she is unique; however there is another former Borg drone, Icheb, in the crew.
Although it's difficult to spot in some of the subterranean scenes, Neelix doesn't appear to be wearing his alien contact lenses throughout the whole episode. Ethan Phillips real brown eyes are visible. This is especially noticeable in any scenes taking place on Voyager.