Nice job on posting these videos for others input. In my book, that shows you're really interested in improving yourself. You are a very strong dude!
I have to agree with Dan on most of his points.
As a former o-lifter, my primary advice is decide what you want to accomplish with your squat. If you are training for powerlifting, train a powerlifting squat. If you're training for o-lifting, train an olympic squat. Don't mix the two into one form. (You can train both...)
For example, if you're training for powerlifting, lose the o-lifting shoes and forget about rebounding your butt off your calves. Those are olympic lifting techniques. Because of your current (low) bar placement, you are not able to keep a neutral spine in the hole and are rounding your low back. You may get away with this for now, but I guarantee it will catch up to you...Instead, get a pair of flat soled shoes and learn to sit back. All you have to do is break parallel, so why do more work than you have to?
If your training for the o-lifts, then move the bar up high on the traps which will allow you to keep the torso more upright and protect your lower back. Keep the shoes and the rebound from the hole.
The reality is you don't really have to choose how you want to train--as a powerlifter or an o-lifter, you can do both. Just don't mix squat styles. You will get much stronger, much faster if you place yourself in biomechanically advatageous positions.
Mess around with your technique and post more videos to update us on your progress, should you choose to accept our advice.
You already work hard, now work smart!
Best of luck.