Ad-Aware 6 is an old version, It is ad-Aware SE (second edition)
As for the other programs you mention its up to you . im not familur with those, basicly uninstall what you dont use, not including updates and windows tools such as MSXML4 Parser.
The item's you mention in the SpyBot results are mostly just cookies, fix them.
Why does Spybot-S&D flag changes in the Windows Security Center?
http://www.safer-networking.org/en/faq/46.html
http://forums.spybot.info/showthread.php?t=250
Be more specific about the error please,. details are important.
You should read more about what Tea Timer is and does before using it
basicly click allow for known good items and not for others, do not use the remember desicion box.
http://forums.spybot.info/showthread.php?t=281
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Yes hpqtra08.exe is a HP program