Trouble replacing 2010 Forester headlight socket

[LightNoWork564]

The original headlight socket melted. Cut the old one out and stripped the end of the wires, twisted them onto the new socket to test, attached new bulb, and headlight does not turn on. I now also hear a high pitched electrical whine coming from the center of the engine when the power is turned on, whether the new socket is attached or not.

How bad did I screw up? Why is the new socket not working? And advice/questions appreciated. Thank you.