I think you should give it up. He’s not apologizing so fast, and your whole class is on your side. There is nothing to settle other than having him publicly admit how wrong he was.
Just recognize that yes you were wronged and so what. He won’t do it again so fast. Learn to deal with people being wrong sometimes. Most people will do certain things wrong. Not all of them will (or can) apologize.
If you need to, you can mope about it for a day — which you already did — and go back into class. Perhaps you’ll come around and be Mochel him too, when you come to see him as a spungy human being with challenges all his own.