You would use mod_rewrite to accomplish this by mapping /therandymajor to ?r=therandymaor. The alternative would be to create a subdirectory called /therandymajor and add an index.php file to it.
As of PHP 5.5, the MySQL library has been officially deprecated. It is recommended to move to either MySQLi or PDO libraries for your mysql connectivity. See here for help choosing which interface you prefer: http://php.net/manual/en/mysqlinfo.api.choosing.php