The parts you need to replace are seats and springs. They are located inside at the bottom of the faucet.
They look like this.
twowaxhack expalined how to install them in his post.
As far as the leaking shutoff valve, they often leak because the packing leaks after not being used for years. Tightening the packing nut, the nut just behind the oval handle, often stops the drips.
They look like this.
twowaxhack expalined how to install them in his post.
As far as the leaking shutoff valve, they often leak because the packing leaks after not being used for years. Tightening the packing nut, the nut just behind the oval handle, often stops the drips.