Is it this correct?

***You write well!  As you'll see, I removed and rewrote what you had in parentheses.  It looks sloppy using parentheses.  The way I wrote it is better.  

***As a wise George Lucas inspired Jedi once said "Do or do not, there is no try".  This is Yoda's way of saying, you either do something or you don't do something, there's no such thing as trying.  Therefore, "I learn German" :)

Hello there!

My name is Alexey and I'm a regular guy from Russia. I work at a school as an English teacher and I love my job. My hobbies include learning foreign languages, watching comedies and dramas, listening to different genres of music and reading books (it doesn't matter what kind of this book it is but it must be interesting for me!). I hope to make good friends nice and joyful people who have got similar hobbies. As I work in a school, I constantly need to improve my English. During my free time, I also learn German. I'd love to reach my goal of improving my English to a better standard than it currently is better than it's now. If you ever begin to learn Russian, I'm ready to help you out. So native speakers, you are very welcome! Don't be shy!

Better:  My name is Alexey, and I'm a typical guy from Russia. 

Is it correct?

Hey Alexey! This is how I might word your intro paragraph..I tried to keep your original content and the "feel" of your intentions in my revision. Hope it helps! I will be trying to teach English on italki as soon as I get my introduction video made. Hope you stop by as a student. If you know anyone else who wants to improve their English,..maybe you can send them in my direction! Regards, Phillip (easyenglishedge.com)

Hello! My name is Alexey, and I am a regular guy from Russia. I work as an English School teacher and love my job! Some of my hobbies that I enjoy, are learning foreign languages, watching comedies and dramas. I also love to listen to different styles of music as well as reading interesting books. I hope to make new friends with nice people with happy dispositions, who share the same hobbies as me. Since I work as an English teacher at school, I am always interested in improving my English. In my free time, I am attempting to learn German, but I would love to reach my goal to improve my current English level. I am willing to help those of you who are trying to learn Russian if you are looking for some help. So please don't be shy!

Is it correct?

Very well written!