Your form isn’t too bad in either your press or squat. I only have minor critiques.
With the press, I don’t think you had the bar or your forearms directly over your elbows. It’s hard to tell from the angle. It looked like your wrist were cocked back. If you want to keep your wrist like that then you’ll need to use a thumbless grip. Ease into it if you do. Otherwise, you’ll just have to make sure you keep it more forward so the bar through your elbows make a straight line perpendicular to the floor.
The main thing I see with the squat is that you’re doing what I call an ‘accordion squat’. All I see is knee and hip extension. You’re missing one more crucial element to a solid squat and that’s hip abduction. Cues like ‘spread the floor’, ‘screw your feet into the ground’, or ‘knees out’ can help with that issue.
I noticed the issue wasn’t as bad on your last reps which suggest to me that maybe your hips loosened up as the set progressed. If that’s the case, maybe take a couple to a few more warmup sets so your ready as soon as the first working set begins.
I also see a little bit of ‘butt wink’ on your squat. That’s where your pelvis tucks a little underneath your hips. A tiny bit isn’t actually a bad thing, but if you ever find that your squats are irritating your back or posterior hips then try to work that one out. One thing that might help which is something that we all need to work on anyway is to really brace hard. Lock your hips and midsection together. Push out on your midsection in all directions and arch your back hard while pulling your pelvis into your sternum hard while squeezing your glutes. This helps create a neutral spine and locks the pelvis and midsection together.
Don’t be surprised if you can’t use as much weight upon implementing these changes. However, it’s also possible that you’ll feel and be stronger almost immediately too.
I suggest reading through Wendler’s book again. But this time, don’t even think about the material related to programming. Just look for general principles and overarching ideas.