Yeah, I have to agree, it sounds like those updates did it. I'm surprised the virus scanner didn't catch it in the update itself. Or at least in the installation.

Like I said, I received ONE Java update, not two. And no problems other than those on the site.

I don't know which AV software you're using, but you might want to check the particular viruses you found to make sure there isn't anything else you need to do. Many of them require some changes in the Windows registry, in addition to the AV cleanup. If you're using Windows, of course.