Well this is the problem:
[30-Jan-2014 05:08:41] PHP Fatal error: Maximum execution time of 60 seconds exceeded in C:\wamp\www\Tag3\libraries\joomla\session\session.php on line 656
So as you asked what the menus on the wampmanager icon were for I assume you are not using the very old wampserver 2.0 because you have used it for years and just never upgraded..
So can I assume you have edited the php.ini file manually i.e. you edited \wamp\bin\php\php5.3.1\php.ini ?
If so DONT that file is used by the PHP CLI only and is not the php.ini used by Apache!!
Use the wampmanager menus i.e.
wampmanager -> PHP -> php.ini
to edit the correct php.ini file, and make the change to max_execution_time in the file that opens in your editor when you click that menu link. Its not the same file.
If this is the first thing you have attempted to do with WampServer and you dont have anything already written that would need upgrading could I suggest you uninstall your version and install at least WampServer 2.2e before you start installing Joomla.
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(Windows 10 Pro 64bit) (Wampserver 3.3.4 64bit) Aestan Tray Menu 3.2.5.4
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