I don't seem to be having this problem anymore. I don't know what changed. All I did was reinstall the Nod32 antivirus software and let it update and perform its intitial scan....which I did a few times before and it kept blocking most of the websites.
I didn't change the clock or anything because I know it was right. I already had it set to internet time, and the correct time zone, etc., which is how it was when I was having this problem before.
So for now, everything seems to be ok.