Glitching screen but responsive to touch (with screen recording)

Hi, I have an iPhone 7 plus. Here is a video of the screen glitching (note: I screen recorded this, maybe the fact that the glitchiness appears in the screen recordings and screen shots indicates something?):

https://www.youtube.com/watch?v=AQvZVqNV...

It is a new phone gifted from someone so I do not know if damage had been done on it. I do not know whether this is a hardware or software issue.

It is completely responsive to touch. On websites, even if nothing shows, links and clickables will still be in the right location and I can press it by assuming its location.

Before, I had an enormous trouble just turning the thing on. It would start up normally with the apple logo but then change to a slightly different, glitchier apple logo and stay like that. Thus, I got it into recovery mode. That worked to turn the phone on, but it’s still glitchy.

Thank you so much!