Oh, pretty sure your rates will go up... IDK about the time limit if there is any on that (between accidents.) If you already went through a course to avoid points (for the other accident) then I doubt you can do that again, but maybe?

Take care of yourself right now. You made a mistake, and no one was badly hurt, though I would garner a guess that the person you hit has whiplash if you going fast or not breaking. That rear-ending hurts a person. But it could have been worse and it wasn't!

Breathe. You will get through this. It might be difficult, but you can do it.