IBook G4 - suddenly shuts off and sometimes screen dims

I have a new iBook G4, less than a year old. I've been very happy with it except for this week. A few days ago the screen unexpectedly dimmed to its lowest setting, even though when I tried to change the screen brightness it showed it at its highest setting. I was able to fix this by closing the computer and reopening it.
Now I was working on the internet (not many applications open even) and it just shut off. No notice, lots of battery power. The left part of the computer made a noise (like the fake laser noise from powerpoint) when it shut off. I was able to immediately turn my computer back on, but when it loaded OS X it informed me that my data and time had been set back to 2001. The clock adjusted this on its own and the computer appears to be working fine, but i did nothing to warrant it shutting itself off and now I am worried I will lose my data in the midst of my final exams. Any advice? The computer is still under warrenty and I have apple care, but I am hesistant to just get the computer fixed or even get it replaced given the problems I've been having. I owned a iBook G3 before this and never had any problems with it.
iBook G4   Mac OS X (10.4.5)  

Hi, and welcome to Apple Discussions.
You may want to try resetting the PMU.
I take it you were working under battery power when this happened?
Is it possible that your battery status indicator is incorrect? Calibrating the battery periodically can help keep the battery status indicator display accurate.

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