Here are some helpful resources for the State of Utah.
Dept. of Commerce
Court of Appeals
District Courts (Only 2 District Courts, i.e. 3rd Judicial District and 6th Judicial District have webpages, and here are the links.):
3rd Judicial District (serving Salt Lake, Summit and Tooele Counties)
6th Judicial District (serving Garfield, Kane, Piute, Sanpete, Sevier and Wayne Counties)
USDC for the District of Utah
Federal Appellate Court: