Tefila (Gomel Chasadim Tovim) and World War 0 (Lech Lecha 5787)

From Selichos Unveiled by Holzer Seforim.

How did saving the king of Sodom make people believe in the miracle that happened to Avraham?


Why do we say גומל חסדים טובים וקונה הכל so late in the first bracha of Shmone Esrei? What do the words even mean? Shouldn't their order be reversed?