Is this Self-Defense?

Alan Smith and his fiancee stop at a Circle K. While she went in to get snacks, an SUV with four teens pull up next to Alan’s driver side, where is was sitting. They are playing music really loud. Alan asks them to turn it down.

One of the teens points a shotgun like object at him and threatens to kill him. Alan pulls out his pistol and shoots the teen with the shotgun. The teen dies on the scene.

The SUV reverses out of the parking space as Alan pulls off four more rounds that only hit the back door. As the SUV turned to race away, Alan kneels in the parking lot and fires three more shots. Two hit the bumper, and one flies through the SUV at head height.

Alan claims self-defense. There were no cameras outside but the shots were clearly recorded from the interior camera.