Anxiety about quitting for a new job

I just accepted a job offer for a new job that will pay me more than double my current job. It’s the most amount of money I’ve ever made and it still feels like a dream. The job is also my dream job and the exact position I had in mind when I started my IT degree.

My current job kinda sucks. It’s IT in a school district and I was using it for some experience but have learned nothing and still feel pretty awkward there after 9ish months. I start my new job in a month and have to give this current job notice. My contract says I have to give 30 days notice. However that seems like a lot. I’m worried I would give the notice and something my would happen and then I would end up with no job. I guess I kind of have imposter syndrome too and I feel like until I’m actually there on my first day it doesn’t seem like it’s real.

I still have a background check to pass. While there is nothing bad, I haven’t completed my degree yet. I won’t be done till November of this year. No one asked about it in the interview. They just wanted to know about my past job experiences, and the job listing just said degree preferred. But what if they think I have a degree already. It’s listed in my resume as anticipated November 2025.

I think I’m just being paranoid, but are there any actual repercussions if I do not give my current job 30 days notice? I just worry about giving that much notice. It’s also so awkward for me because I’m not even sure who I give my notice to. There is a guy above me I barely talk to, and then the administration.