Sounds like you expect way too much out of a sports car. Based on your complaints you would not have lasted a 1 day in a GTR which makes weird noises way more than a 370Z.
Don't want to sound like an a**hole but appears you bought a wrong car. Should've went with a Lexus
I suggest just turn up the radio or buy an exhaust. Drive the car hard and just enjoy it for what it was designed for. The car is on stiffer side therefore noises are going to be there, will not go away and might just get worse overtime . Just depends how much you want to pay attention to them. I'm pretty positive, the majority of forum members did not buy their 370Z for its quite, rattle free, smooth ride.
Also, remember the noises you hear might sound just normal to other people. Happy