Grammatically, it's fine. In American English however, we don't say "resident in;" instead, somebody would say: Basically, I am from Pakistan but currently reside [or residing] in Kuwait. or Basically, I am from Pakistan but currently am a resident of Kuwait.

There is nothing wrong with the sentence. It's fine. This is a reduced form of "I am from Pakistan but I am currently resident in Kuwait", but you don't need to repeat the words "I am" in the second half of the sentence. In your sentence, the word "resident" is an adjective. If you say "I am resident in Kuwait" , the adjective "resident" describes your status. It means that you are living in Kuwait. Another way of phrasing this sentence is to say "I am from Pakistan but currently a resident of Kuwait." Note the article 'a' and the change of preposition (of). This sentence has the same meaning, but the grammar is different. In this version, the word "resident" is a noun, referring to you as a person. This also answers your previous question, by the way: resident in Kuwait = "resident" is an adjective - it describes the person a resident of Kuwait = " resident" is a noun - it is the person.

Nothing - it's a good sentence.