How can I open an SDS8/SDS7 MkIII pad?”
First of all: Make sure that is is really an SDS8/SDS7 MkIII pad! To get access to the inside you need to curve the rubber edge away to get access to the staple nails. You have to pull them all out. After it you can remove the shell. Now you see the piezzo and the wiring. check all solder connections. If they are all ok: Replace the piezzo. Before you assemble the pad again, fix the solder joins with hot-glur. This will keep them from getting loose while playing.