How can you protect your copyright and trademark at the Intellectual Property Office? What is the process?

There is no Intellectual Property Office. Copyrights are filed at the Copyright Office at the Library of Congress. See www.copyright.gov. Trademarks are filed at the US Patent and Trademark Office. See www.uspto.gov. Each has different procedures. In very, very brief terms, copyright is for artistic or literary creation; trademark (or service mark) is to identify the source of a product or service. Both sites have excellent educational resources to learn more about what may be registered and how.