Visible crew/equipment: In the "Desert of the Real" scene where Morpheus is sitting on the chair while explaining the Matrix to Neo, at a certain point he raises the head to the sky and in that moment the boom mic is visible reflected on his sunglasses.
Visible crew/equipment: In the final scene where Neo exits from the phone booth and wears his sunglasses some crewmembers are reflected on them.
Continuity mistake: When Neo is following Morpheus' instruction to escape the agents who have come to arrest him at work, the location of the knot in his tie changes - note the pattern.
Other mistake: The date of birth shown in Neo's passport is 13th September 1971. The date of birth shown in his security file is 11th March 1962.
Answer: He doesn't know that he's plugged into a giant computer and that most of humanity is a power source for robots. He's merely aware that there is something wrong with life in general, something odd that he can't quite explain.
Gary O'Reilly