The first image is completely uninteresting.
The second one -- wow that's a blue sky. The top quarter of the image serves no purpose but the rest is very interesting. I like it but wonder if it might be a tad too saturated. Also the leading edges of the clouds are blown in the bad sense.
In number 1. I'd wait till he lifted his head. With his head up, the perspective would have made it a really good shot. Also you might want to try it with a fisheye lens...I think you will like the result. Also watch your DOF, the trees in the background were slightly blurred. Work with your aperture to either get them in focus too, or blur them out more.
In number 2. It seems like theres nothing really to draw your attention. It kinda left me wondering what the subject was.
the first shot is more of a snapshot, as you mentioned, than a photograph. To you it has a meaning, but to anyone else looking at it, its a dog in the rocks...fun fun? Thats the fun of snapshooting.
The second shot is very nice. You can crop off the top a bit, and parts of the clouds are blown out, but other that that it is a really good shot.