1 - Are they "correct" about the front brake rotors and pads needing replacement?
2 - Are they correct about the rear brake drum needing replacement ?
You know, without pysically seeing the rotors, I can't tell if they need to be replaced, but at that mileage? Sounds odd to me. As for the rear drum, I doubt that it can't be turned and used. Like fidgits said, get another opinion.