There are no countries that speak Latin. Only Vatican City bishops and the Pope speak Latin in prayers. Also a group of Monks in New Norcia, Western Australia, read and write in Latin.
Latin was the dominant language in Itay and through out the Roman Empire through the power of Roman Republic. Over time, the vulgar Latin developed into several languages like Spanish, Portuguese, French and Romanian.
Latin is a language that has its origins in and around the Italian peninsula. Currently there are two places in the world that hold Latin as their official languages. One of them is the the Vatican City. Malta is the other country or municipality that has Latin as its official language. It makes sense that these two places have Latin as their official language because they are in and around the area where the language and culture was founded.
The Latin Alphabet is one of the orginal and oldest alphabets that have ever existed. Latin had a very big influence in the early days of Christianity and is held in high revernce by the Roman Catholic church. Latin evolved highly over time as well as it has been noted with several noted eras of the formation of the language. Modern Latin is the version that is used and utilized these days.