Q. How do you write a proper letter to a las vegas justice court referee judge?

You have contacted a community college library in Texas, College of the Mainland. 

Unfortunately, we are not qualified to provide legal assistance or suggestions of any kind. However, I've found some local (Las Vegas) resources you might find useful. These are legal aid non-profits that have informational websites, provide "self-help" guidance, and other resources.

The 1st is from the Civil Law Self-Help Center. I've linked to their Appealing a Small Claims Judgment page. To the right you will see a menu on the side of the page with other links. At the top of the page, explore the menus under Self-Help, Court & Case Lookup, etc. There are lots of resources listed.

I'm also linking to the Legal Aid Center of Southern Nevada. The menu under What We Do at the top of the home page has helpful-looking resources.

For any further questions, contact one of the linked organizations of other assistance. They will be able to best direct you.