Only coaxial transfers both.
S-Video is only picture and does picture much better than Coax. You'll have to get separate sound cables, which will also be much better than the sound through Coax.
For sound you can get either 2 RCA cables to the Aux input of your TV.
If it has Aux video inputs it should have Aux audio inputs as well.
That's just for basic 2 channel sound.
Or you can get digital sound with a proper decoder.