About the saying of the Umar- what a foresight Abu Bakr was blessed with that he felt the importance of nomiating a successor whereas the Prophet of Allah didnot and to this day there seems confusion about it. Full marks to the first caliph.
The seconed part of your post is amusingly vague.
Peace Pagluu
By the way we don't believe Abu Bakr (RA) was successor ... there is no successor to Muhammad (SAW) he is and will be the Prophet of our time until the end of days.
Abu Bakr (RA) was the first Khalifa. (translation ... caretaker) appointed by the people who were of highest calibre from the Ahl-al-Bayt.