I work at a car wash part time on weekends as a second job...gotta love free carwashes and hugely discounted wax jobs. I ran mine through yesterday and I never have a problem. It's a full service, so there are employees to hand dry the car, clean/dust the inside. The guys who pressure wash the wheels and front end at the front of the wash usually pressure wash the noodles (lol, whatever they're called) and all the brushes in the car wash each day, so there's no mud or dirt tracking.
I also have silver, so swirls are much less noticeable. When I had my black tib, I always handwashed it. Swirls can get out of hand on that paint job if you don't buff it every couple months.
Regarding the license plate, yeah, our wash likes to bend the metal front license plates if they hang over the edge of the bumper. I have one of those plastic tinted covers with screws on the bottom holes to keep it from rattling, on my license and it's always made it out unscathed.