Q? on electric air compressor repair piston.

I have a electric craftsman compressor that finally gave up building compression.

I tore it apart to find the piston and compression ring was worn and scored itself and the cheap cyllinder.

This part kit should bring it back to new life but i was just wondering if I had to put any oil in the cyllinder wall or would I be wasting my time and ruin it with oil?

Here is the parts kit.
http://www.mastertoolrepair.com/pistoncylinder-kit-p-478.html