That could be done with a checkbox under "options" and two buttons below the list "grant selected awards" / "delete selected awards".
But this would require JavaScript me thinks and unfortunately me dont know JS
/* edit
CAG, you really have some nice medals/awards on your page

*/
/*
another edit:
*/
Dont know if this a bug or a feature

,but even when you set awards to not be recommended or requested you can by using the direct link (like ".../forum/request_award.php?award_id=6") and changing the award_id.
Maybe an oversight by master squidsk?