Number one the music in the gym is just awful, I love T Swift as much as the next guy but not while I'm lifting. That could be partly the problem for you.
You bar path seems a little shaky to me. On the front view you seem to bring the bar back to your head after you lift it. Bench with a little more frequency in your program and lower the weight you use and that usually helps with my bar path become less shaky.
Also you have a spotter but he does not do anything. The spotter should help you get the bar off correctly. You lift the bar way to high to get it off the rack, which is gonna move your back and shoulder position you just set up for. A good spotter will minimize the rise in bar when releasing it from the hooks. It should come straight out without minimal movement vertically.
Another little thing, squeeze the bar as hard as you can when you bench. I didn't see you do that very hard. And tuck the elbows more in the bottom position, they stay flared the whole time. You do somethings right but you are missing some of the more refined techniques.
Finish the workout program your own now and get a little better with the technique. But a good bench mostly comes from technique and then from rows, more rows, some grip work and more rows again. Overall its not that bad but a good workout partner should be telling you these queues when you lift.