You got that guide from the U.S. District Court for the District of New Mexico's Guide for Pro Se Litigants. That court is a federal district court, not a New Mexico state district court. Your appeal from a decision of a New Mexico state or local government agency goes to a state district court, not the federal district court. Thus, the guide you quoted from will not apply to your state court proceeding. There are some tips in there that are useful for pro se litigants in any court, but a lot are specific to federal court, and since you are not going to be in federal court that guide could lead you astray if you try to use it for your appeal in state district court. In other words, when researching stuff for your case, make sure you are looking at rules for NM courts and not federal courts.According to GUIDE FOR PRO SE LITIGANTS:
Generally, pro se litigants are held to the same standards of professional responsibility as trained attorneys. It is a pro se litigant’s responsibility to become familiar with and to comply with the Federal Rules of Civil Procedure and the Local Rules of the United States District Court for the District of New Mexico (the “Local Rules”). These rules set forth the general procedural requirements for litigating cases in federal court.