haha~ its the band that they have in Shin Domoto Kyoudai - Domoto Brothers Band. That performance included Kiroro who used to be one of their regulars, and some other band members you don't normally get to see on the show. Hmm..not sure if its available for download. (let me check if I have it..)
As for Fukukyon....I'm not sure actually when she officially joined as a regular on SDK and part of the Domoto Brothers Band. Perhaps the first time you saw her on SDK? but I doubt its 2008 or 2009, I think it was much earlier I've seen her as a regular on SDK.
Hope it helped..although its not much.