your answer is no you do not have SP2 unless it actualy shows it as windows xp service pack 2 and nothing else. what you are seeing is the hotfix's of service pack 1.
I seemed to have a lot of trouble after installng SP2. After several days I decided to uninstall it, and expected to do a System Restore to bring me back to the good ole days. But I was not able to activate a rstore point before the date of the SP2 install.
After repairing several files and program settings, I am pretty much back to normal.
I noticed, though, that when I look into Add or Remove Programs there are still some 30 files showing XP2.
Am I still working under SP2?