What I found unusual about the skeet shooting photo was his wristwatch.
There is a news story on 8-4-2012 about him spending his birthday playing golf for six hours then heading to Camp David in the evening (with his chef) to rest for the remaining part of the weekend.
There is a photo of him boarding the helicopter at the White House. He is dressed in tan pants, white shirt, and a black face watch.
At Camp David, skeet shooting, he is dressed in jeans, black Nike shirt, and white face watch. This watch looks like the one in the photo of him by the pool with a water gun at Camp David in June 2011.
Flying over to Camp David after six hours of golf, changing clothes AND WATCH, to go shooting before dinner seems odd to me.
I saw another copy of this same pool photo with two more kids in the pool and a man over by the stone wall over his right shoulder.