Unless it's a skewed perspective, your feet are below your head through most of the dive. Your sculling happens when you stop moving and lose that upward momentum. As you start to descend, the sculling puts a stop to it. You can't stop sculling until you get your propulsion neutral, so you can keep yourself neutral. Move weight forward or put a couple of pounds of lead on your shoulder to see if that helps. I wear 4 pounds in my side mount rig. Also, fold your hands together and don't let go. That will effectively stop your sculling... unless, of course, you let go. hold on tight!
Your kicking looks to be a medley of frog and modified flutter. Every now and then I see you trying to frog kick with the tops of your fins and not the bottom. Choose one and let time work it's magic. Before you try to helicopter turn, perfect the single fin turn. Just frog kick with the fin opposite of the way you want to turn.
Unlike Peak Performance Buoyancy, my class doesn't result in any certification. I never took a class like this, though I wish one were available. I had only two instructors ever help me with my trim or propulsion and they were my cave instructors. Most of what I learned was like reinventing the wheel. I just kept at it and experimented until I could stop, breathe my way up or down and turn without using hands.
Now, let's be frank. Is your trim cave ready? No. Is it adequate for that environment? Completely. Not everyone wants or needs snobbish amounts of trim. That's OK. It's a big ocean and there's room for all of us in it. More important is how you feel while you're diving. If you feel that you have control and are having fun then stop right there. There's simply no need to seek out the Holy Grail of perfect trim unless it is negatively affecting your diving or you just want to. However, if you are fearful about loss of neutral buoyancy or if you feel out of control during your dive, then do everyone a favor and get some help. It doesn't have to be an instructor either... just make a pact with your buddy to figure this trim thing out.