1) Let your insurance company deal with it, that's their job. I assume you do have liability coverage, yes? And no one was hurt so its just property damage.

2) "Combat park" as much as possible from now on - either back into the parking spot or pull through, so you always pull out forward into traffic, and if you must nose in park your car far away from other cars. Parking lots are dangerous.

3) Install dash cams in your car so there's no "he said she said" after an accident. You can get front/rear combos for under $200 from amazon.com these days. They are cheap insurance.