Congratulations! Your daughter sounds very talented! I just wanted to suggest that you bounce your questions off of some very experienced parents (most of which are also LA residents) on the PARF board. Get there by going to: www.delphiforums.com and then in the search box, type in PARF (stands for Professional Actors Resource Forum) and then click on the hyperlink and ask your question(s). You can even place it in the Music/Theatre/Dance section. I'm pretty sure you'll get some good opinions and responses there.
Also, keep in mind that "girl groups" out here are extremely popular and exist on a multitude of levels, from extremely amateur to highly professional. The same goes for "record producers".
If you do decide to come to LA for this opportunity, use it as a chance to see the sights, look at colleges, and check out agents and/or mangers, too! Then regrardless of what happens with the producer, it will still be a great and benficial trip.