You have the basic understanding correct, yes. However, the word for "want to" is spelled "wanna." Also the other sentence should be "I am going to travel this summer" which would make it "I'm gonna travel this summer." This is slang and should be used in informal conversation but never used in a school paper. I hope this helps.

Your, not yours. Your example. This is yours. Your dog. Your pencil.  The dog is yours. The pencil is yours. Your is an adjective. Yours is the object of a sentence.

Don't use them. You'll sound non-native.

These are mumbled phrases, and you've made mistakes because you think these mumblings are words. Jean has given the proper grammatical (=normal) sentences.

Just write normally. That is what native speakers do.

I agree with Peachey.  I'm a native English (US) speaker and have never ever used the words ''wanna/wonna'' or ''gonna''.  Please don't go there, it doesn't sound cool, it just sounds uneducated (like ain't, shulda, etc.).  Just focus on proper English and with your Russian accent you will already sound plenty cool.  :-)

Dmitriy

This question has been discussed before.

The comments are very helpful.

http://www.italki.com/discussion/81474

Jean is correct

Slang is all well and good but in my humble opinion correct english is better especially if it is a second launguage.