In hindsight...instead of avoiding people or just acting like the first application cycle never happened, I wish I had told them plainly, "I was rejected." Point is...you'll get to medical school. You never know who you're helping by saying...I was rejected, I didn't give up, I was relentless, and now I'm where I hoped I'd be.
It's not just about medical school...it's about life. Maybe you'll be rejected again (in a relationship, in a job, by your family). Maybe you'll feel insecure or afraid (dealing with personal illness...dealing with your patients). Knowing that you got through...letting other people know that you persevered...it can help.
Now, I'm always quick to point out that I'm a re-applicant. I'm proud of it now, because some people give up.
My 2 cents.