I think your first paragraph is good. It sets the scene and time of your essay.
However, your second paragraph needs a little work.
Darjeeling is the place where I as a six year old, learned how to cope with loneliness, homesickness and living amongst different people. Going away from home at the age of six and
... At both the end of your first paragraph, and these two sentences you repeat at the
age of six or when you were six. I'd say you don't need the second two but definitely get rid of the last one. I'd say "...Living away from my parents
at a young age was very lonely and every night I would weep quietly under my blankets for my mom and dad.
You also do something similar with the word
lonely or loneliness. You should try to find a different word or rephrase it in a few places.
Honestly, I wasn't good at making friends because I was too reserved to talk to anybody and shunned myself from everybody around me, except for one of my classmate who always stuck by me and gave me company, even though I didn't talk much and wasn't fun to hang out with.
I'd put this in a different way... maybe something like "I was never good at making friends. Being reserved and shy, I tended to shun myself from my peers. However, one classmate persisted and stuck by me, even if I didn't do the same for him..." What you have is a good thought, but the wording is a bit too critical of yourself and awkward.
Once during sports day, I was competing for my house in pop the balloon and because of me my house lost, and I was really down and crying in a corner, when he came and consoled me.
A bit confusing on what you mean. While competing in a sports competition, I felt that I was at fault for letting my team down, but it was my friend who helped me recover from my guilt?
Paragraph 3:
Aside from holding many of my childhood memories
isn't meeting your friend a childhood memory?
because I can't seem to remember their names.
this isn't necessary.
Even though I might not be able to see them again, I will always keep the times we spent together in my heart and never forget them because those were really one of my happiest moments in my life and when I think about Darjeeling I will think about the happy times we spent together.
Try breaking this sentence into two or even three. It's run on at the moment.
With a little improvement and revision this can be a really thoughtful essay. Good job.