Well, interesting questions. There are different schools of thought with regard to that topic.
One school of thought is that the consecration of Russia was accomplished by Pope John Paul II, that the Soviet Union subsequently collapsed, and the matter is closed. Sr. Lucy, the Fatima seer, expressed her opinion before she died that the consecrations had been correctly done by John Paul.
Another is that none of the popes of the 20th century, including John Paul II, correctly performed the requested consecration, and that the world remains in peril of some chastisement which Russia will heap upon the world. Those in this camp tend to be traditionalist Catholics who believe that Sr. Lucy was somehow manipulated into a false assertion of the authenticity of John Paul’s consecration.
Still another is that Fatima is a false apparition, and that the consecration of Russia is, therefore, a non-issue.
Needless to say, Russia is not a Catholic country. And if, as a Catholic, you believe that all the peoples of the earth should form one flock under one shepherd, then yes, pray for Russia’s conversion. But not just Russia. How about the good ol’ USA? Or the United Kingdom? Or China? Or every other country in the world except Vatican City, for that matter.
As far as the Leonine Prayers, they’re typically recited only after a celebration of the Extraordinary Form of Mass by traditionalist Catholics. For the most part, however, they’ve fallen out of vogue.