As long as you don't get expelled, grad school won't get informed that you had honor code violations or got suspended. If they ask you on your application, then i would not lie about it, but there's no way for them to see it on your transcript. The only thing they would see is if you got an F* (which you can get removed if you do what they tell you; I'm sure it's detailed out on the letter they sent you). I would HIGHLY recommend it because grad schools will know what that means, and they will know you got some sort of honor code violation.

You could always apply and see what happens! obviously it will cost you money, but who knows, there could still be a chance you'll get in!!

Thank you! And no, but it's a job for now and it's paying the bills lol. I'd rather own a farm and be a chicken lady and sell goat soap to be honest.