I believe Christine Lorentzen is still on maternity leave...
Well, if you like the page on said networking site, you obviously haven't been on it for some time. I, too, like the (official) page for the band, and it has been discussed many times.
Now, Lore said about 2 years back, I believe, that she was pregnant. Although, if I'm not mistaken, it was a band member that dropped the bomb about it, and jokingly asked if we knew any singers who could take her place (which got some people on BZP and BS01 a little riled up).
Nonetheless, she's had the baby and is raising it. The fan page gets news from them every now and then and they said something recently about writing another song, I believe.
And to touch on the last point; yes, they are technically writing for Hero Factory. One song, titled Breakout, was featured in the ending credits, but it was only a short sample, and we have yet to get the full song (despite the 25 second sample coming out a month before the Breakout episodes). That song features a winner from the Danish X-Factor as the vocalist while Lore is away. She will be returning, however.
Also, keep in mind that the video site's page hasn't been updated in quite a while, nor has their official website.