1 would be your bottom layer & 3 the to.
Alternativley you could put green vinyl letters on top of the gold small letters, but the overlap would be raised and not like that nice if someone comes close up. You could knock the green shape out of the gold letters, but that woudl only work is the is very large, and I would skinny the green knockout so you have a little overlap (basically trap with vinyl letters)
Or, prep a file for grand format inkjet. You do not give a wall size, but this could be done using a nice wallpaper type media. Vinyl cut type is tacky ( no pun intended ). It can be done, but for much less handwork, a large format wallpaper type application might work better. Again, depending on the final wall size, you might want to go grand format. Let's say you have a wall that is 84" high x 144" wide ( 7'x12' ); setup your file 21x36" ( 25% actual size ); save for vendor's specs.
I should also mention that I'm new to Adobe Illustrator period and I'm a little confused....what I would like is for you to walk me through the steps if you wouldn't mind or send me a link or something!
Start by attaching a better screen shot. I cannot see clearly the elements behind your "ZALESNY" text. And, you haven't been specific enough on what exactly you are looking for and what the final file application will be. Gondek gave you vinyl cut letter application, I gave you a wallpaper approach. Whic is it? And what is the final size?