*The layout of the original post was fine but I have split it up below to go into more detail on each sentence. For the longer sentences I will also try and give two ways of phrasing it, hopefully you can see in the examples I give where your mistakes occurred.*

I have a great friend, whose I would like to talk. Not sure if this should be corrected to "who I would like to talk to" or "who I like talking to". As a note, ending a sentence with "to" would probably not be liked in an exam or formal setting but in casual conversation it is pretty common.

We are very close friends. We were know from high school and we have got a lot of things in common. Could be phrased: "We have known eachother since high school and have a lot of things in common." or "We met in high school and have many things in common."

We like listening to music, shopping and going to clubbing. Could be phrased as "We both like listening to music, shopping and going clubbing." or "We both enjoy listening to music, shopping and going to clubs."

She is charming and very sociable. Because, she likes knowing people and she is always travelling to visit her new friends. Could be phrased "She is charming and very sociable because she likes meeting people and she is always travelling to visit her new friends." or "She is charming, very sociable, likes meeting people and is always travelling to visit her new friends."

I get on very well with her and we keep in touch. This sentence is good.

Although It is each time more difficult because we don't live in the same city. Could be phrased "Although, it gets more difficult over time because we don't live in the same city" or "Although, it gets more difficult each time we speak because we don't live near eachother"

In addition, we have got different way of life. Could be phrased "In addition, we have different ways of life." or "In addition, our lives are very different."

She is a nurse and has two children. They are wonderfull, the younger only has one year old and second four years old. Could be phrased "She is a nurse and has two children. They are wonderful, the youngest is a year old and second is four years old."

Despite of distance, they call me aunt, which is very kind for me. Could be phrased "Despite the distance, they call me aunt, which is very nice for me." or "Despite the distance, they call me aunt, which I really like."

I hope I can to visit them very soon. Could be phrased "I hope I can visit them very soon" or "I hope to visit them very soon."

I hope this is understandable and that I haven't made any mistakes in all that text :)