I agree with the pumping. That was the biggest fault I saw. Your eyes were up, you didn't over jump. Overall I think when you quiet your upper body down, you will be a beautiful rider. Lots of talent. Just relax, roll your shoulders back, and stick your butt to that saddle. :) If you stop pumping your whole body won't move so much. I can see your legs moving around a bit, and it's all because of your upper body.
I look forward to see you advance! I also agree that your arms need bend. Look at some pictures then compare to you. You'll see the ones with pretty equitation have their elbows bent and at your side.