It appears that your shutter speed is too slow. Aperture is too wide. I so is too open. Now the rest is based on the exposure for the subject and ambient light.
In every field technology advances but in the end we bring knowledge and imagination. 90 percent of the people want to point and shoot. Even with a dslr. We shoot and control the moment, they shoot and sometimes the camera gets lucky. LOL
Never one moment one shot one kill the art
I believe the problem is in your thinking. You probably believe that the problem is in your shutter speed when in reality it's due to high
I SO and too large an aperture. You don't need to be shooting at 1/2000 but you do need to increase your DOF. Also always take a shot at a distance and gradually move in on the subject.