If you are really downloading files at 24 kbps and on broadband, there is a serious issue. Broadband download speeds are generally in Mbps, while only dial-up speeds are in kbps. This is kilobytes vs. megabytes (a 1,000 multiple difference). Do you have an internal modem that is perhaps connecting, and should not be? If sounds as though you need to check out your broadband. Also, FYI, the 54kbps you have heard about is simply the most usual dial-up modem speed - it is not broadband. [One finer point in regard to broadband speeds - most broadband has slower speeds for upload than download, which is known as asynchronous. The actual download speed you obtain will depend not only on what you have subscribed to, but also the capacity of the line and so forth; but you should be "always connected" and should never see download speeds measured in anything less than 100s of kbps, if not Mbps.]
In regard to the spybot matter, it sounds as though the current version may not be loaded. Did you actually download spybot, or did you leave the system with only nod32 & zone alarm? If you did download spybot (v1.4), please see info at the page below, and follow that link to download upgrade.
Spybot is good for making sure you are protected against spyware, and as I stated earlier, running more than one spyware program is not a bad thing to do. However, perhaps I should have clarified with you that the Nod32 you are running is the full solution - if it is AV only, you should put on a spyware protection package, and I believe spybot is the best of the free versions.
Back to your broadband/download speed - you should never get 24kbps on broadband. It sounds like something is definitely wrong, and I would suggest that you speak with Tech Support at your Broadband provider about this. They may need to walk you through a check of your modem, or the line may need to be checked, etc.
By the way, I spent some considerable time and energy researching items for you in regard to registry cleaners. Did you see the additional comments I sent to you following the original lengthy response? I wanted to make sure that you felt you had gotten a FixYa level solution from me, as I feel that a "good" rating instead of an "excellent" rating indicates that you feel I did not give you everything you asked for... If you are satisfied that I fully responded, I would certainly appreciate your reconsideration of that rating.
Please post back if you need further assistance or clarification with this matter; otherwise, thank you again for using and rating FixYa!