And Francis, were he to go to confession - whether he is a pope or not, the majority of the Catholic world recognizes him as such; by virtue of his baptism he is a member of the Church- would have to publicly retract his many sins. Because his sins are in the public domain, he would be required to issue a public retraction of them. It would be no different than Madonna were she to go to confession. Her public sins would require a public retraction.
On the issue of a modern pope declaring something ex cathedra, I am of the opinion that the state of grace is required for a pope to make an ex cathedra declaration, since it is ultimately an operation of the Holy Ghost speaking through the pope. Of course the pope writes the papal bull and then he speaks the truth contained therein. The question is, Are all the words of the papal bull infallible? I say no. If we have no guarantee that all of the words are true, then how can guarantee that some of the words are true? And the answer is, the qualifying words, "We declare, say, and pronounce...," uttered by the pope.