Corrected entry: Right before the second body is found, Olivia interviews Luke Dempsey. After the second body is examined, while Peter leaves with the hard drives, Olivia says that she's going to interview Luke. She just did that.
Corrected entry: Peter tells Olivia that the brain-melting computer program is being downloaded at her apartment "right now", which suggests a computer is already on and the program is running. But the next scene is Olivia's niece Ella turning her computer on for the first time.
Correction: There's no evidence that the two shots are sequential. It's not a continuity error, the scene in Olivia's apartment just doesn't begin after the scene where Olivia talks to Peter, it starts just before.
Correction: With the discovery of a second body and Luke Dempsey is the prime suspect, why can't Olivia interview him again?
XIII