If you, as a fallible human - although a pretty well advanced one - can love your own that much, think about how the all-powerful, all-knowing, infallible, loving creator and sustainer of the universe loves His own! It is beyond our comprehension, yet He does. Praise His name!
Yes indeed! It is not that God is ‘like’ a father. He is THE Father, and we get to be a little like Him — enough to have a clue not only in our minds but in our emotions, a clue about what REAL love is.