You need hyphens here
face-to-face, hands-on, people-centric
Within a year I began to crave professional development
What do you mean by the phrase, "professional development"? It seems vague.
coupled with my drive for scientific knowledge resulted in medicine emerging as a clear and natural winner.
You have already said that nicely in the first paragraph. No need to repeat it.
I learnt that hospitals aren't glamorous, are often heart wrenching, and that being a doctor requires an immense amount of applied and social skill. I also learnt that those skills were in line with my own innate aptitudes and disposition.
Instead of the second sentence, you can put the "..maturity, level headedness..." line and also include some of the social skills you mentioned. This reduces the word count and makes the previous statement stronger.
By the way, you seem really courageous. Even some Indians are afraid of going to Jammu & Kashmir, which is sad.