Aw Katie, I'm sorry it was such a bad day. First of all, are you OK? A car (or parts) can be replaced. You can't. As Sara said, you had a good reason to leave quickly. Don't worry about that.
Can you call the company about the job interview and maybe reschedule? Explain what happened. If it is meant to be, it will happen. If not, something better will come along.
Try to relax and not let the day get to your body. Stay healthy!