Facebook tracks you even if your logged out, why your having problems even when not using it.
To fix your main problem, make sure your time and data are current and updating via Apple's time servers in your System Preferences > Time and Date.
Got a week huh?
Ok, lets try two more things.
A #2 PRAM reset
And then delete the System Preference preference file
The PRAM holds the time and date in memory, and System Preferences plist file is supposed to remember setting and perhaps its not and thus throwing things off with your Time and Date and PRAM settings.
get back with a color click so I get a email notice.
I have already posted the fix to this problem (and it worked for me as well as many others).
Please LIKE/vote up the answer so that more people can see it.... Its a simple certificate conflict with a very simple fix, that's affecting A LOT of people.