No, recording is not normal. Also, I can't imagine having time to rewatch interviews.
When a Zoom meeting is being recorded, Zoom informs you. It wouldn't be a secret.
Yes, you can hide self view.
You really need to do a practice interview with a friend so you can try out all the buttons, see how the screen looks if someone is recording, etc. I think that will help you.
One thing I love about video interviews is I can tape some key points to my monitor to help me in case I get off track.