Broken ZIF Connector for Power/Volume Controls on Surface Pro Series 5

When replacing the battery (which was an effort and a half but managed to do it without breaking the screen!) I ended up breaking the ZIF connector that interfaces the Power and Volume Control buttons from the case.

Does anyone know the part I could order to replace this? Also, is this something someone with a decent soldering iron can fix or is it more complicated than that?

Working Connector (Open)

Pieces from Broken Connector

Piece with an Identifying Mark (712)

Working Connector (Closed)

Broken Connector left on Board

Ribbon that Connects to the Connector

Many thanks.