When Wesley takes Salia to the holodeck, the area around their feet decreases in size. This forces Salia to move closer to Wesley and put her arm around his waist. In the next shot, the same arm is now linked with Wesley's.
Salia jokes with Wesley that his magnet can pull the iron out of his blood. Magnetic fields only effect iron in a body-centered cubic structure (metallic iron and steel below 910 °C or ~1660 °F). The iron in hemoglobin does not have this crystal structure and is not affected by magnetic fields.
This is incorrect. Hemoglobin is paramagnetic, more so when it oxygenated. This has been known since the 1930s. The fact that hemoglobin has magnetic properties was first discovered by Michael Faraday in 1845.
Geordi tells Wesley that Wesley's distracted behavior in Engineering is due to "glands erupting with hormones," and adds that "it usually does [happen] at around this age" - but Wesley is 16 going on 17 years old at this point. Puberty in boys begins at around 11 to 13 years and usually ends by 17. Wesley's glands should have "erupted" years earlier. However, Geordi is not a biologist. Moreover, even if puberty is drawing to a close by age 17, the behaviours induced by the hormones are still very pronounced.
As the Enterprise approaches Salia's home world the ship is contacted by a terawatt source on the planet to which the crew responds with 'that's more power than the Enterprise can generate' and 'it means we can't respond' (due to atmospheric interference) The message gives beam-down coordinates. How can the Enterprise transporters punch through interference that Coms cannot? There are many example throughout the series of the crew talking to but unable to beam to the ship due to interference.
When Wesley and Guinan talk in Ten-Forward, a little black dot appears on the screen in the lower right-hand corner and remains there for the rest of the shot, blinking only once.
Both Worf and Dr. Pulaski are surprised by the existence of shapeshifters, with the latter treating the concept as something from a zoological textbook. However, the crew of the U.S.S. Enterprise (NCC-1701) encountered shapeshifters in The Man Trap (1966), Whom Gods Destroy (1969) and The Survivor (1973). Captain James T. Kirk and Dr. Leonard McCoy also encountered one in Star Trek VI: The Undiscovered Country (1991).
It seems odd that, given that Salia is going to be the ruler of a planet with whom the Federation wants to establish diplomatic relations, none of the adult officers treat Wesley's interest in her as anything other than "why must he be a teenager in love", completely ignoring the potential ramifications his friendship with her might bring.