Obviously,e English is an international major language around the world.

The phrase I think you're looking for is "lingua franca", meaning it's a common language even between people who speak other languages natively.

I'm actually learning this language because it's an quite essential condition to shapeskill for my future.

So I really need to improve my eEnglish skills.

Obviously,e English is an international language around thein today's world.

(1) "English" is the name of a language, so it's a proper noun and should be capitalised.
(2) "Around the world" is redundant, because it's already implied by the word "international". I just replaced it with something else.

I'm actually learning this language because it's an quite an essential condition toskill for shapeing my future.

Your original phrasing might be okay, but I personally think "for shaping my future" sounds more natural in this context.

So I really need to improve my eEnglish skills.

Alternatively: "Hence I really need to improve my English skills."