admission to the Tajik- Turkish high school
This should be "admission to the Tajik - a Turkish high school."
As most college essays could be considered as formal essays, I would change the 3-4, etc. to three to four rather than leaving them in their numeral form.
science subjects-in English.
I would suggest making the hyphen a space, as you didn't do the same earlier in the sentence.
memorizing poems of classic Farsi poets
This is rather redundant, why not change it to "memorizing classic Farsi poems"? You go down in the word count and sound more concise.
I started to face difficulties with my Tajik language and literature classes, especially, as some changes were introduced into the literary Tajik language during last seven-ten years
The hyphen really shouldn't be there. Try "seven to ten" and why not try "I faced difficulties with my Tajik language and literature classes especially, as changes had been made in the literary Tajik language in the last seven to ten years." instead of what you currently have there.
At the beginning it was very difficult but as time passed I could better understand all those hidden meanings of poems and prose, as if transgressing to the same time with poet.
I suggest adding a comma between "difficult" and "but" and changing "those" to the.
The whole
I got 5 from Tajik and Tajik literature.
is rather confusing, is there a different grading scale. Maybe say five out of five or whatever number it's out of.
Also, you are over your word limit by eight words, so these revisions add to that word count, so I suggest taking out a few words in one spot and replacing them with a lesser amount of words to describe the same thing.
Other than that I think that you have a great essay topic and delivery.