I'm 6'2" and I ride a 58. I have shorter legs though, 32" inseam, and a longer torso. I really don't think your bike is too big for you based on the video. I think your seat needs to come up and you should probably flip the stem back over to bring the bars back up. Bringing them down will make the reach longer. the bars themselves look to be where they should be rotation wise, your levers look to be in a good position.