Its the play in the front brake pads, there is about 1/16" or so gap. When the brakes gets pressed going the opposite way than the last direction of motion, the pads move to the other side (up/down), and you are hearing the metal brake mounting plate tapping the metal brake pad holder. Then the 1/16" gap is on the other side. Its nothing to do with the parking brake, or rear drums. It's that little gap up front
Absolutely they will, assuming they are working properly! I'd bet a lot of money on that. Mine are just starting to do it after 4 or 5 months after my own fix of putting grease in the aforementioned gap. But only when I reverse with my foot off the brake and let me get some speed in reverse, then hit the brakes. If I go slow, the pads won't make the noise as I'm assuming they load in the opposite direction softer when going slower. If I back out with no brakes on and go my whole driveway, then stop for a car coming down the street, 100% click lol.I bet once you start getting some miles on the pads yours will start clicking again as well.