That is correct. Life, liberty, and pursuit of happiness are human rights. You possess them by virtue of existing as a human person. They can not ever justly be revoked (an action by somebody else), although they can for serious enough reasons be forfeited (due to your own actions necessitating society's reaction in that regards).

Voting is a legal right. It is not inherent to the human condition, but is created by virtue of our collective decision to organize parts of our government according to democratic principles, and granted by the laws we create that define the right.

The law does not give Puerto Rico federal voting rights because while part of the US, it has not sought to become one of the federated states which participate in federal governance. However, the 14th Amendment still applies, so Puerto Ricans do have the right to participate in Puerto Rican elections.

Automatically voting? Perhaps not that far, but probably more opportunities for vote fraud.