Yes, get the whole backing plate package. While you are at it see that you don't need a new axle. I put new brakes on our '66 Trade Wind last year and planned for new axles this year. But discovered that the work I did putting new brakes on was for naught. The old backing plate doesn't fit the new axles (tandem). If you were closer I'd give you the new, slightly used brakes but the shipping would not be worth it. Check the axle though.
Neil and Lynn Holman
Kirk Creek, Big Sur, Ca. coast.
1966 Trade Wind
1971 Buick Centurion convertible
1969 Oldsmobile Ninety Eight