You have identified the main expenses: car repair and replacement car rental. It's unlikely you will get dimunition of value plus repair; usually, it's one or the other, and much more often the repair costs. If you had any other out-of-pocket expenses--e.g. you took mass transit; towing; etc.--you could claim for those, too. The best way to present your case is just to thoroughly document: bring in estimates, bring in photographs, bring in receipts or invoices; also, so you can try for  diminished value, bring in anything showing that (e.g. "blue book" valuations for cars of your make, model, year in damaged and undamaged states). Everything you bring in should itself be thoroughly documented as to source, when obtained, etc. The more thorough you are, the better off you'll be.