They definitely didn't use that album. If you listen to "Commence" and listen to the main melody, you hear that same melody when James and Richard are sitting around at the top of the field waiting for Clarkson to get up the grass. So either they bought specifically a Scott Brown mix CD and we hear tracks from the whole album, or they set Commence on repeat and it was used in every scene where his stereo was heard. I'm betting on Commence set to repeat just because they specifically chose track 4 to annoy James with. You can also hear the words "let the beat commence" very faintly at 8:46-8:48 in the episode.
I'm therefore going to confirm the votes for Commence. Which mix it is, I have no idea. But it is without a doubt Commence by Scott Brown in at least two of those scenes.