My note: Good work! :)

I want to do things.

I want to go visit a foreign country trips some time someday.
But my around people around me do dose not want to.
After all I should go only one. (Not sure what you mean)
Because I must study English more than. (More than what? Or do you mean more then?)

I want to do things.

I want to go to foreign countries to take trips some time.
But people that I am surrounded with do not want it.
Therefore I should travel alone.   (in my opinion travel sounds more natural)
As such I have to study English more than elsehow/(I would need to otherwise).

( elsehow is great word but it is unfortunately not recognized by Cambridge dictionary. Here is explanation: http://www.urbandictionary.com/define.php?term=elsehow )

I want to do things.

I want to go foreign country trips some time. --> I want to go on trips in foreign countries some time.

But my around people dose not want. --> But my friends (?) do not want to.

After all I should go only one. --> After all I should go by myself.

Because I must study English more than. --> Because I have to study more English. 

I want to do things.I want things to do.

I want to go foreign country trips some time. I want to have a trip to abroad. 
But my around people dose not want.But, my relatives dont.

After all I should go only one.So I will go aloan. 
Because I must study English more than.Because I must learn English very soon.