I really appreciate all the info. I will definitely use the links you have provided. I'll remove the download of Limewire I have completely from my system. Then use the software you have suggested and download Limewire from the link you have provided.

The pop-ups were there from the moment I downloaded Limewire, it wasn't until later that I tried using the accelerator. This is the site I downloaded from:

Lime Wire » Official Website & Free Download, BitTorrent «

I guess it's not the official site even though it says it is.