You're sort of getting mixed messages re: squats. You gotta decide which type squats you wanna be doing.
You're currently doing oly style squat: knees going past toes is correct form. High bar position. Upper body stays upright during the whole lift, no sitting back. Less involvement of the posterior chain (ie hip drive), more quad work. Weight is distributed to the front of the foot, so heeled shoes are preferred.
Powerlifting squats: the opposite on all the above points.
Flare knees out with both styles, and point toes in the same direction. Stance width is whatever, that just varies according to what's comfortable from person to person. Altho you should vary your stance to see which width allows you to squat deeper. All of this kind of ties together, gotta experiment a little, until you're able to hit parallell at least.
I think your deadlift would improve with more hip drive. Your first rep is alright but then your form gradually changes, until the final rep where your hips don't come forward hardly at all and you perform the lift entirely with your back.
You say you want 1) bigger deadlifts 2) more hip drive. The way I see it, switching to powerlifting squats will improve your hip drive, which will in turn up your deadlift. But I know people tend to prefer one style over the other mostly depending on how their bodies are built
At the very least you should fix to go deeper. Those are partial squats homie, and it's obviously not a heavy weight for you.