Did he forget about the New Testament?

Although Jonathan Edwards is very well rehearsed and knows his material, I have to wonder if he only knows his material from the Old Testament. He is making a point to inform the people that God has the power to save whomever he wants and does not have to same someone. He also speaks of all of humanity dangling over the pits of a fiery hell, it is God's choice to save us from this. Edwards was a calvanist and they believe that God doesn't have to save anyone, in fact a person is chosen to be saved before they even ask for it. The New Testament clearly states that anyone who chooses to follow Christ is saved. In fact a very well-known verse in the New Testament, John 3:16 states, "For God so loved the world that he gave his only begotten son so that whosoever believes in him shall not perish but shall have eternal life." It's not about God choosing who will be saved, God wants us all in his family. God wants everyone to follow him.