I totally agree about dead center, not a good thing to do in most images.
The first one could be improved by changing your shooting angle. When doing most types of action shots, the image is usually more interesting when you see emotion and faces.
The second one has alot of dead space around it. I agree with moving them off to one of the sides of the image, or even getting down to floor level, focusing on the pigeon and having the women in the back slightly blurry. Or get rid of the pigeon all together and fill your frame with your subject more.