reveal my interest in art, which I have improved throughout my life.
Watch your wording. it sounds like you are saying that you have improved your
interest in art rather than your ability.
A piano, to me, was a chance to learn more, as I would have to learn to play, as well as a buoy to help me learn how to swim.
Again, the semantics can lead the reader to a different mental image. I am picturing the piano strapped to your chest like a life jacket as you flounder in the waves.
A mobile, (which I never got until an older age), demonstrates the desire to be connected to others.
Now
this is one that I can't picture! The only mobile I ever had was above my crib as a baby. It is probably better to cut this.
Traveling to Dubai illustrates how I like to travel, yet I am economically considerate for choosing a nearby destination.
This sentence is awkward. Llamapoop already pointed out that traveling to Dubai really doesn't illustrate how you like to travel ... it simply states that you boarded an airplane. Economically considerate? Economically considerate of who? Your parents because they were footing the bill? You could say that you are financially responsible, but really, this sentence doesn't tell the reader anything about you nor does it add to the narrative.
Renewing my room's furniture
Renewing the furniture? Are you pumping it up with vitamin B, letting it get a good night's sleep, and treating it to a day at the spa? Replacing it? Recovering it? Refinishing it? Renewing furniture doesn't make sense.
Qura'an (our holy book)
It is safe to assume that your readers will know what the Qura'an is--especially when you say that it symbolizes your religious belonging and Islamic identity. Actually, you don't say that it
symbolizes, you say
symbols. You will need to change this.
Symbols is a noun and you need a verb.
and tell me who I really was.
The past tense is not working here. It is kind of like you are saying, "So, when I was little, my mom kept these lists of all these that are symbolic of me. These are things that were a constant since I was little. They represent my foundation. But, hey, I am a different person now and those lists tell me who I WAS."
a sunflower only grows from a sunflower seed, and I have grown from my own seed.
You don't even want to know the mental image that this conjures. When you are talking about plant reproduction and then say that you have grown from your own "seed," well, it sounds like asexual human reproduction or cloning. "Seed" is a euphemism in the States for "sperm."
I don't feel like I learned much about the current YOU except that you have visited Dubai, you like shoes, and you change your furniture often. None of those traits are endearing though. None of those traits tell me that you will be a successful student in the US.