You are not required to speak to the authorities if arrested under the US Constitution as well as state and federal laws. Providing your identity is not required, but you may provide it if necessary. You should speak with your attorney as soon as possible. Only speak to the authorities when your attorney is present.
People who have been arrested are usually taken to a police station to be booked. Police will gather personal, historical, and biographical information to determine if the suspect has a criminal record. Consult your family and lawyer immediately.
Even if you intend to plead guilty, you should seek legal advice from an experienced New Mexico criminal law attorney before making any decision regarding criminal charges.