Hi Irene,
Yes, I was very lucky. I took it in to an Apple Authorized dealer about a week before my one-year warranty expired! The service manager right away said it was a common problem and that it was covered by the warranty. The white spots started appearing around 8 or 10 months or so after I bought the iBook.This other problem, the large darker area that comes and goes, isn't as annoying, but from the sounds of it, it's a common issue as well. But as I no longer have a warranty, I'll have to live with it.