Han: As Korean cultures goes global so does Korean traditional alcoholic drinks.
Correct: As Korean culture goes global, so does the Korean traditional alcoholic drinks.
Explanation: In this sentence, CULTURE is considered an uncountable noun, so you don't need to put S after it.

Han: Soju is a hard liquor which is distilled from etanhol, sweet potato and others.
Soju is a hard liquor which is distilled from ethanol, sweet potatoes and other things.
Explanation:  Be careful of how you spell some words, such as in this sentence, is the ETHANOL. Be mindful of the plural form of nouns that you used. We use plural forms to indicate that there are 2 or more POTATOES involved.

Han: Though Soju seems not having high alcohol proof, however as Koreans get used to drink bottles of it at one go, so you should be very careful.
Correct: Though Soju seems not to have a high alcohol proof. However, as Koreans get used to drink bottles of it at one go, so you should be very careful.
Explanation: Use different kinds of vocabulary words in your sentences. We are free to use verbs, nouns, articles, pronouns in our sentences so that we can convey our message clearer to the reader. Study how to use these and the proper arrangement, too.

Han: In fact I don't like drinking Soju because it often causes a terrible hangover the following day morning.
Correct: As a matter of fact, I don't like drinking Soju because it often causes a terrible hangover the following day/ following morning.
Explanation: As a matter of fact is more formal to use. It is used to emphasize the truth of what you are saying.

Han: In additon, it doesn't have any scent.
Correct: In addition, it doesn't have any scent.
Explanation: Be careful of how you spell some words. :)

Han: When you are tired of a hard work, only then you might want to drink Soju.
Correct: When you get tired of doing a hard work, only then you might want to drink Soju.
Explanation: Sentences provide us with the framework for the clear written expression of our ideas. One of the aim in having a conversation is to practice expressing in complete sentences. It always contains a verb, expresses a complete idea and makes sense standing alone.