Headlights not working, how do you wire a new new socket?

This is correct. The wiring for each headlight is a different color as they are separate circuits.

If you need to wire a new socket, here is an excellent video that will take you step by step on how to do that:

https://www.youtube.com/watch?v=PxA5wczsCVo

Below is a copy of the wiring diagram that will show these circuits which have separate wires. Please run through this info and let me know if you have other questions on this.

Thanks