Would you be surprised to learn that we are told at least twice in the bible what the New Covenant actually is and that it is NOT the collection of books from Matthew to Revelation? Most Christians simply believe what it is they are told by their ministers without ever looking to see if what they have been taught is true or not. The "Biblical" understanding of the "old" and "new" covenants will change your perspective on a number of things that you "thought" were true. Take your time, watch the videos and read through the articles listed below. Then YOU can explain it to your minister!
Old and New Covenants - What exactly are they?
Videos explaining the Old and New Covenants