I'm no expert, but:
1) The first move of your downswing is a dramatic drop of your head. A drill you might consider is to have a partner hold the butt of a club still under your chin through your backswing and a VERY SLOW downswing (do not use a ball for this drill). Keep your chin on the butt of the club. The idea is to get a feel for what it feels like to hold your head still, and the club provides a reference point for this. Repeat this several times and then hit a few balls and try to replicate the feeling of holding your head still.
2) Your knees appear completely locked at address. Knee flex is vital to rotation and weight shift through the ball. As a result the first move of your downswing is to bend your back knee (also a major factor to dropping your head). Flex your knees from address and hold that flex through the backswing. You will need to be careful not to bend your knee more as you start your downswing as you are doing now. The above drill should help with that, because if you bend your knee into your downswing your head will drop. Reference any tour pro for an appropriate amount of knee flex and good knee action trough the swing.
3) You are doing a good job of loading your weight on your back foot in the backswing, and now you need to work on shifting that weight to your front foot through your downswing and into your follow through. You should finish the swing with ~90% of your weight on your front foot. Again, watch a tour pro's swing in slow motion for a good model to copy.
4) You would probably benefit from slowing your swing down (especially the PW). Once you fundamentals are a bit more solid you would want to reincorporate speed into your swing. To be honest your swing is at its fastest well past the ball (something you'll work on in time), so you may not notice much distance loss from slowing it down. In fact, with better mechanics and cleaner contact you may find you hit the ball farther with a slower swing.