There are a couple of threads [1, 2] reporting problems with Logos 4 logging in to the server.
One user's log shows:
System.Net.WebException: The underlying connection was closed: Could not establish trust relationship for the SSL/TLS secure channel. ---> System.Security.Authentication.AuthenticationException: The remote certificate is invalid according to the validation procedure.
Did a server certificate recently change or expire? I imagine that XP can't recognize something about a new certificate that a recent OS wouldn't have an issue with.
I realize there's no support for Logos 4 or Windows XP, but it would be helpful to know if the problem is on the server side, or the client side.