Dear Andrew,

My name is Tony. We have talked to each other last Saturday night with on Skype.That's a great feeling for me. It's my first time to talk with a foreigner on the Internet. But I didn't talk too much. I am not nervous, I just didn't know what to say. If you could correct me when I talk with you, that will be a big help for me.

Best regards, 
Tony Chu

Good job!

Here's a link to explain why I capitalized the 'Internet.'

http://en.wikipedia.org/wiki/Capitalization_of_%22Internet%22