When Not Moby gets out of the limo he is holding the case of Barney's CD, then when Barney is looking for the CD he has the case but it is empty. Also, Not Moby stole the CD but he was never close enough to the CD player to take it.
When Barney holds up his "Get Psyched" CD, the first track written on the label is clearly "I Wanna Rock," by Twisted Sister, and the second track is "You Give Love A Bad Name," by Bon Jovi, but it is hugely advertised that "You Give Love A Bad Name" is the first track and Barney's "Get Psyched" song.
During the scene when the gang thinks they see Moby on the street, the backseat of the limo has, from left to right, Robin, Ted, and Marybeth - Ted's co-worker and date for New Year's. Then, all of a sudden, Ted is to the far right at the window talking to "Not Moby," Robin is in the middle and then Marybeth, Ted's date, on the far left - the furthest seat away from Ted.
When Marshall leaves the limo to search Lilly, he forgets his phone in the car. However, later he says he tried to call Lilly but he couldn't because "all the lines were jammed". He couldn't have tried calling her since he didn't had his phone with him.
The first song on Barney's "Get Psyched" mix is actually "I Wanna Rock" by Twisted Sister, as can be seen when he holds up the CD, although "You Give Love a Bad Name" by Bon Jovi plays every time he punches play.
When Ted, Barney and Lily are all standing through the sunroof of the limo and Marshall is running towards the limo after searching for Lily; if you look closely you can see that as Marshall runs closer to the limo and is slowing down, there is a fog machine clearly visible behind the limo to screen left.