Skype Talk

Yesterday I chatted with my British friend on Skype for the first time in six weeks.

"for the first time in ~~" is a phrase that shouldn't be broken up.

Before the call, I was very nervous because I've gotten used to an American English, and he is the only my British friend who can talk to me on Skype and I'm not good at understanding his accent.

I heard a lot of expressions from him that my American friends haven't used in their conversations.

I thought that, compared to six weeks ago, I've improved my listening skills because I could realize that.

I will have an appointment next Sunday at midnight to talk to my Chinese friend who lives in America .

"will have" means you don't yet, but will soon have an appointment. I assume you have already made (aka scheduled) the appointment, though.

I also start talking to two of my American friends again!

Before starting talking to him, I was very nervous because I've been used to an (listening to) American English, and he is my only my British friend who can talk to me on Skype and I'm not good at his accent.

I don't know if I agree with that Yumi. You seem to manage very well.

He used a lot of expressions that my American friends haven't used in their conversations from him.

William's correction is also good.

This led me to realize that my listening skills have improved over the last six weeks.

I prefer this version of the sentence.

I'm really looking forward it because I can bring myself up to date with all her news!

Not sure if you meant this, or that you could update her with all your news.