Is it legal to print a 16-year-old's name in the newspaper if he was charged but not convicted of a crime?

When a minor's name is excluded from the public record, that bars law enforcment and the justice system, etc., from giving the name to the newspaper (or anyone else). It does not legally bar the newspaper from printing the name in the paper if the paper gets the name from other reliable sources. Also, if the case was heard in adult court instead of juvenile court, those proceedings and records are generally open for public inspection. Generally a minor's name cannot be a matter of public record. There are exceptions depending upon state statutes and specific circumstances. The best option would be to speak with the state's department of social services, juvenile authorities or the legal aid society.