I just moved into a house where the seller took the kitchen light fixture. I am planning to install a new light fixture. I believe the outlet may be controlled by two different switches, and I'm not sure how to connect it.

The box in the ceiling has 3 wire screws. One covers a black wire, one covers a white wire, and one covers a green wire and a bare copper wire wrapped together.

The fixture has two lights, and there are three wires coming from each light. From each light there is a thin bare (uninsulated) wire and a double wire in one piece of insulation -not unlike speaker wires.

Can you tell me how to connect them?