Peter wraps the two hard drives in bubble wrap in the Lab. When he takes them out in the back room with Akim, he takes them out of a plastic bag.
When Olivia is talking to Peter about the lab assistant's mother, she has a pen in her hand that appears and disappears between shots.
When Agent Dunham is looking at the printout about Brian Dempsey from the department of motor vehicles it states that his date of birth is 04/08/1965 and that he has had a class C license since 12/27/80. This would mean that he first got his class C license when he was 15. You must be 21 to get this.
When Akim is looking at the information on the hard drives, his monitor depicts 'network hops', each with what were obviously supposed to be IP (Internet Protocol) addresses, i.e. four numbers (AKA octets), each separated by a decimal point. But many of those are illegitimate, as each octet in a real IP address will never by greater than 255, whereas many of the ones depicted on the monitor are much larger numbers. This is to protect users on the internet, for the same reason phone numbers use the 555 prefix.
(at around 1 min) When Olivia is rushing back to her house, in one scene she is seen driving from the right side of the car. Most likely, the video was flipped to make it show her driving from left to right.
When Olivia and Peter walk through campus toward the lab - which is in the next scene - they actually walk the campus of Brooklyn College (CUNY) in New York, not Harvard University, where lab is supposed to be located. (27th & 28th minutes)
When Mark Rosenthal is found dead by his wife, his computer is on and the application he had on at the time is still running. According to the analysis done by the Fringe team so far, after the malicious killing program finishes executing, it's supposed to fry the hard disk to erase all evidence so Mark's computer should not be working.