I have the same model computer, just a little about my drive.
I started using it extensively for backing up files (and to a lesser extent, re-reading older backup discs that are getting too many scratches on them). I have noticed it to start slipping like I had a Memorex DVD+R DL media in the drive and it spun it and then stopped without anythng being onthe My Computer page. I clicked the icon, it asked me to insert a disk, and automatically ejected it for me. About the third time I had waited a bit, did some stuff on my computer, and had another piece of software access the drive and it started spinning longer this time. Gonig into My Computer it saw it magically again.
Now I run into problems when sometime reading backups I received a “No Seek Complete” or “Track Following Error” message from the software, while this is usually bad/scratched media, I feel sometimes I’m not making the most accurate backups.
I have written many other discs like CD-R, CD-RW, DVD-R, DVD+R, DVD-RW, and DVD+R DL of the brands Memorex, Sony, Verbatim, and Maxell.
I was going to run a diagnostic on that drive that I believe my computer came with (accessible through the BIOS) and update any drivers/firmware I can after that.