My parents want me to apply for a college program for exceptional highschoolers, but my chances are near zero?

The requirements are as follows:
Creativity in academic or creative fields (I'm pretty creative, but I get so embarrassed acting myself in public that I rarely show it.)
Above average ability in the selected course (I honestly don't feel I'm above average in the courses I chose as options, and those are the ones I'm best at out of the options.)
A lot of self-motivation and desire to work hard (Less like self motivation and more like a little coach in my head screaming at me to get stuff done but same thing XD.)
Intellectual, social, and emotional maturity (This one is very debatable. My parents claim I HEAVILY lack these things, while everyone else says I'm very mature, but then again my parents have a habit of underestimating their children's capabilities...)

Additionally, it helps to be social and outgoing, which I am not. When around people I don't know well, I keep to myself and mostly work to get done what I need to get done. Whenever I start conversation or act outgoing around people I don't know well, I feel like I'm making a fool of myself.

I'm going to apply regardless because I know it would look good later when applying for scholarships and colleges, but my mom wants me to go in with the attitude that I can qualify. In all requirements I either don't or barely meet those standards. My grades aren't the best either, two B averages and the rest A's. They only pick 400 students from around the state. Am I right to keep a not cynical, but realistic attitude about my likelihood of getting in?