Please deselect "Search for negligible risk entries" as negligible risk entries (MRU's) are not considered to be a threat.
making sure you are using Ad-Aware SE Build 1.02 and definitions file SE1R2 10.08.2004
The false positive was that Adaware SE 1.01 was mistaking "mozz.dll (a necessary dll for running Mozilla) for "Iwon". It drove me up a wall until I asked about it in the appropriate Lavasoft forum. The answer was that it was an issue they knew about and that using Se 1.02 plus the latest updates would resolve the problem...which it did.
The bottom line of course is to make sure that no obvious program such as a mail client or a browser is running when you run AdAware!