As nouns the difference between rector and father
is that
rector is in the Anglican Church, a cleric in charge of a parish and who owns the tithes of it while
father is a (generally human) male who begets a child.
As proper nouns the difference between rector and father
is that
rector is an English surname; derived from the German surname
Richter while
Father is god, the father of Creation.
As a verb father is
to be a father to; to sire.