So you assumed Close-Quarter Defense was referring to Close-Quarter Fighting or are you reading a different feat? If so I would like to know especially from what you've written
"If the enemy does not possess improved grapple or improved grab he cannot attempt to grab you, and in case he does, you add the damage dealt to your grapple roll."
Are you writing that after damage he cannot attempt to grab you or is there some feat you know of that will make it that no one without improved grapple or improved grab can't attempt to grapple you at all?
Starting a Grapple: Step 1 has this as well as Disarm: Step 1. The other special attacks don't.When you make a special attack which grants your opponent an AoO and they cause damage it's to my understanding that your special attack fails.

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.