First impressions -
Knees adducting severely. They shouldn't. Most likely weak glute med/max. You can do some direct adductor work on those terrible "good girl/bad girl" machines at the gym, if you have access to them. Otherwise you'll need to do some fire hydrants and other core stuff to learn to fire them better. The SECOND this is fixed you'll notice an increase in poundage and comfortableness while squatting. It will help you 1.) Sit down between your thighs more (which you could use), and 2.) Power up out of the bottom.
On the side view at ~1:03 you can see the bar come forward on the way up. It actually does a GREAT job of staying centered on the way down, that forward lean is what will hold you back, as I'm sure you can tell. The fix for this is better thoracic extension on the way down, and aggressively maintaining that on the way up. I've been working with MoM and some others on this, but basically at the top you need to cock your ass back and chest up, like a teenage girl, before you begin the descent. As you descend you should be straining to feel that tautness throughout the back the entire time. This will allow you to keep the bar over the center of your feet AND stay on the heels: a recipe for a healthy, heavy squat. Notice how you NEVER see oly lifters fail forward?
In the single after the side view reps you can clearly see your thoracic spine curving forward, and what looks like no attempt being made to stay erect, or have a "tall spine." I like to have people think of a laser or circ saw or something in front of them while they squat, James Bond style. Or like that old game "Operation" where it BUZZES if you hit the sides. Stay erect while squatting, stay "away from the front," and you'll feel a lot better, although the reps will be much, much harder at first.
That's a great deal to take in at once, so I'll stop there. Get back to me with questions if you've got them big guy, preferably in my log. You've done an awesome job improving your squat so far, by the way, and I LOVE the video that was made to clearly cover all the bases to make sure you could make it a perfect squat. That's shows a lot of character.