Your server needs to talk to Facebook’s servers over a secure line. WordPress abstracts the creation of connections between two servers into its own API which then interfaces with the best available option on your server. WordPress also has some limited support for letting plugins know the server does not support a secure way of communicating with a remote server.
Some servers and configurations test for the validity of a secure communication method by comparing against a known set of companies that issue secret makers understandable by your server. Your server may keep a separate, more limited list than modern software used to accomplish the same task.
Updating server software to support the most robust and well-supported way for WordPress to communicate with a remote server is good. Updating or upgrading a server for modern SSL certificates and communication is also good.