Still waiting for help. I can change the dates to one day ahead - but that seems idiotic to do in the event it mysteriously corrects itself.
But this problem still persists - no matter what date I have - it makes it one day before.
If you need my system information:
PHP Built On Linux d.hostknox.com 3.2.0-4-amd64 #1 SMP Debian 3.2.65-1+deb7u1 x86_64
Database Version 5.5.46-0+deb7u1
Database Collation utf8_general_ci
PHP Version 5.5.4
Web Server Apache/2.2.22 (Debian)
WebServer to PHP Interface cgi-fcgi
Joomla! Version Joomla! 3.4.5 Stable [ Ember ] 22-October-2015 21:30 GMT
Joomla! Platform Version Joomla Platform 13.1.0 Stable [ Curiosity ] 24-Apr-2013 00:00 GMT