I've no problems with the blur - I like the blur! I do think it's a little dark - a bit of levels adjustment maybe? (Or don't view it on my work monitor, maybe?) A fun shot, though. Now see if you can shoot him running towards you, just for fun!
Unfortunatley this is too blurry. I'd suggest using shutter priority instead of regular "P" or "A" - set shutter to a minimum of 125th sec with a moving object or higher. Turn up the ISO if needed and sacrifice grain for sharpness. Also, thre is not enough interst in the side of the dog or the tail... I'd suggest waiting to snap when the dog is facing the camera or only take a pcture from the side/tail view if something extremely interesting is going on back there. The best wildlife/nature/animal/human shots have the eyes as a main interest... again, unless something else is going on. If you want intentional blur, then practice a technique called panning. Slow your shutter and follow/track the animal with your lens so the animal almost appears in focus, while the background is out of focus/shows the blur.