Great job! I'm not familar with this story, so some of the grammar may be the author's original intent. However, there were only a few gramatical and spelling errors.  I was able to understand what you were saying!

If I were...

I'm just Lula May who is yet 14 years old who steals the turkey cock's eggs and hides them into bushes of dog-roses.
Actually I'm all in tears because of that...
Well, It's too early go to Tiffany's.
I think that it's better to drink up.
Sure, I have to drink up.
- Fred, dear, will you buy me a drink?
Of course.
Promise me one thing... Don't drive me home until I get drunk.
Until I really heavily get drunk.
- Do you think is she talanted? Does she have a deep and strong talent?
No, she's just funny and shallow...
But she doesn't have a deep and strong talant.
Oh my God!
- Do you think she earns a lot?
- I'm sure.
Well, let do me tell you something.
Of course.
If I had her money, I would be richer than her.
- Why do you think that?
- Because I have a guardian angel.
Old Sally Tomayto... He is my guardian.
I would always believe Sally.
That's why I would be richer that her.
We should go out to get some air.

(c) The Breakfast at Tiffany's.