You should take video and pictures of all problems so you can make sure it's documented. After that take it into the dealer and probably leave it overnight if you can so they can see it shake on a cold soak, that is obviously not normal. Your dash also sounds bad, without pics I can't say much except they should either replace it if it is bad or make sure it's fastened securely. Just be sure to make an appointment (not just for oil change, tell them these issues) and let them know you'll need a loaner. The preferred line can always help with these issues and schedule you with a dealer as well as document everything for you.