I’m not sure about your Rebismart - it may come as a separate delivery. I was originally on a different (brutal!) auto injector before the Rebismart. Hopefully someone else can advise you about that.
The Rebif goes in the fridge. I just used to put it in the fridge in its box, not in the coolbag. The coolbag, I thought, was if I needed to take it overnight anywhere and needed to keep it cool on the journey for instance.
You will get full training again when you do the first injection, so you can ask lots of questions then. There is also the helpline and nothing is a stupid question. When do you actually start injecting?
Hope it all goes well. In a few weeks’ you will be an old hand at it and you will wonder what you were worried about.