If a person has a right that is stated in the constitution, that person has
only those limited rights.
other rights that are not mentioned.
more rights than the average person.
some rights that should be confirmed by law.

Other rights that are not mentioned.

This is established in the 9th and 10th Amendments to the U.S. Constitution, which were created to ensure that people's rights were not limited to those only specifically mentioned in the U.S. and to prevent the government's power from expanding. They state the following:

Ninth Amendment: The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people.

Tenth Amendment: The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people.