First off, you've achieved a lot in regards to English in just one year.

I like to speak English. About one year ago I couldn't say anything, only: 'My name is Lena, I was born in Novokuznetsk'.

You could say:

1]"About one year ago I could only say 'My name is Lena, I was born in Novokuznetsk'.

2] About one year ago I couldn't say anything other than 'My name is Lena, I was born in Novokuznetsk'.

I was ashamed that I couldn't can't speak any other language only except Russian! That's why I started to learn English.It was not as so hard as how I thought. I used only English, even if I didn't understand! I've watched a lot of movies without translation and read many adapted books. Sometimes it was hard, but now I can understand different speech and use structure which I have seen was in movies and TV shows. I also started English classes, because it's very hard to learn grammar without a teacher. I think a teacher is necessary, he can help you by showing you how to use your vocabulary in the right way.
P.S. And the most main rule for me is: Saying, and people will understand you!

Are you sure you want to use "Saying" there?