The Sixth Extinction (2) - S7-E1
Revealing mistake: When Scully enters the F.B.I. Building after returning from Africa, she isn't wearing her badge. She'd need it to walk around without being stopped by security. (00:35:50)
The Goldberg Variation - S7-E6
Revealing mistake: Henry's right eye is glass, yet its pupil dilates and constricts respective to the amount of light to which it's exposed.
Answer: He was being facetious. He doesn't specifically know that information, he was merely giving examples of the types of information he has access to.
I think so too.
lionhead