I'd consider those high-bar squats. The bar rests on your lower traps, but still on your traps and not on the rear deltoids. Just FYI.
I think you could sit back a bit more at the bottom -- stick out your butt more. The powercage is in the way in the clip, but it looks like your back curves in the bottom position. When squatting light, go slower and make sure to retain the tension in the low back throughout the lift. It should be a well ingrained habit before going heavy.
As for the press, place the bar on the heel of your palm so that it forms a vertical line together with the forearm. In the clip, it rests close to the knuckles. Also, keep your chest up in the press, rather than leaning back to allow the bar to pass in front of your face.