Other mistake: In the opening scene where Jim is watching the encoded TV and his mom comes in to say goodnight, after she kisses him if you look in the cracks of the shades it is light outside. It's day, not night. (00:01:07)
Other mistake: When Jim is fooling around with Nadia, it shows a cameo appearance by Blink 182. It's obvious that the three people in this cameo are Mark Hoppus, Tom DeLonge, and Travis Barker. Travis Barker was the replacement drummer for Blink 182, when old drummer, Scott Raynor, left. Yet in the credits, it credits Scott Raynor, the ex-drummer, as being in the cameo. (00:47:31)
Answer: The song is called Sway by Bic Runga.