@
Sode no Shirayuki,
You do not need both defrag tools, however the Puran defrag also allows for a boot-time defrag, is light in the system, and efficient on all OS's. I have used both and believe Puran does a much better job; I know others will have their opinion. Essexboy does recommend Puran.
You should have no problem with OA and Avast; see my Signature as I use both as well.
Once Essexboy is done with you (he will want you to leave your machine to run for at least a day or two before doing anything else), please check that all your software is up to date with the
free Secunia Software Inspector
http://secunia.com/vulnerability_scanning/personal/. This will scan your system to see if you have any outdated or obsolete software and give you the vendor's director download patch making it easy for you to fix. Many of us here scan our systems weekly since software changes so quickly. You will also find news of updates to software in our Avast Support section of the forum as well.
@
Essexboy, During your malware removal and cleanup, was the Ask_Toolbar removed or not? If not, I will provide the OP with the tools to remove. Thank you.