I'd reject you for this alone because your experiences as a child have nothing to do with your experiences as an adult. You're a different person now. I pretended I was a spy when I was ten, and wanted to be a fighter pilot.
I'm afraid I vehemently disagree with you. Each of those topics (or all of them with the uniting theme of overcoming them to become a responsible adult) has great potential. OP's experience is very unique; YOU had the luxury of being able to pretend to be a spy, OP was a bullied child, and a disadvantage adolescence. Pretending to be a spy is a great way for kids to explore potential career fields, having the living hell beat outta you is only important if the child wants to be a professional masochist. Being bullied at a young age is no less painful than being bullied as an adult. Having to sacrifice to take of of someone, especially a loved one suffering from dementia is no less educational to a child than an adult. OP didn't want to be a fighter pilot at ten, OP was too busy struggling with pain and bitterness no child has to deal with, didn't get any better at 16 when OP had to take care of grandma. You know when OP was freed from care-giving duty? When grandma died. No offense sir, but if you are really in a position to evaluate MD candidates, you should be more sensitive. You are so right, OP is a different person now, I guess all than gain form pain crap is no lie.
OP please do the world a favor, write (strategically i.e don't whine, discuss your past and how it helped shape you) about these experiences, get a spot and be the best physician you can be. We need more physicians who know s*** can get real even in the land of the free.