Puerto Rico is not a country, it is an American territory. There is no telling what will happen in the far future, but in the near future, Puerto Rico isn't looking towards independence, it's looking towards statehood.
Puerto Rico would be represented by an additional star on the US flag if and only if it were to become a state and join the Union. So, far, that option has been voted down by the people of Puerto Rico when they have had opportunities to vote on that possibliity.
The patron saint of Puerto Rico is Our Lady of Divine Providence. As far as I know there are no Puerto Rican saints. Although Carlos Manuel Rodriguez has been beatified, the fourth step in process of canonization. Hope this helps.
Puerto Rico. The US controls the US Virgin Islands (St. Johns, St, Croix, St. Thomas) and Puerto Rico (which includes the islands of Culebra, Vieques and Mona). Puerto Rico is the smallest of the Greater Antilles and is by far the largest island in the Caribbean controlled by the US.