public sealed class ServerConnectionProjectItem : ArcGIS.Desktop.Internal.Catalog.ProjectItemInfoCrawl, ArcGIS.Desktop.Core.IMetadata, ArcGIS.Desktop.Core.IProjectItem, ArcGIS.Desktop.Core.IProjectMultiItem, System.ComponentModel.INotifyPropertyChanged  

{
  // Get all the server connections in a project
  IEnumerable<ServerConnectionProjectItem> projectServers = Project.Current.GetItems<ServerConnectionProjectItem>();
  // use projectServers;
}

{
  IEnumerable<ServerConnectionProjectItem> newServerConnections = null;
  var project = Project.Current;
  newServerConnections = project.GetItems<ServerConnectionProjectItem>();
  foreach (var serverItem in newServerConnections)
  {
    //Do Something with the server connection.
  }
}

{
  ServerConnectionProjectItem serverProjItem = Project.Current.GetItems<ServerConnectionProjectItem>().FirstOrDefault(item => item.Name.Equals("myServer"));
  // Use serverProjItem;
}

{
    //This workflow would work for 
    var agsFilePath = @"C:\Data\ServerConnectionFiles\AcmeSampleService.ags";

    //ServerConnectionProjectItem supports .ags, .wms, .wmts, .wfs, and .wcs files
    var server_conn_item = ItemFactory.Instance.Create(agsFilePath)
      as ArcGIS.Desktop.Catalog.ServerConnectionProjectItem;

    //Get the server connection - passwords are never returned
    var serverConnection = server_conn_item.ServerConnection as CIMProjectServerConnection;

    //Add to an AGS service connection
    var service_connection = new CIMAGSServiceConnection()
    {
        URL = "URL to the AGS _service_ on the AGS _server_",
        ServerConnection = serverConnection
    };

    // Add a new layer to the map
    var layerParams = new LayerCreationParams(service_connection);
    layerParams.MapMemberPosition = MapMemberPosition.AddToBottom;
    //Note: Needs QueuedTask to run
    var layerCreated = LayerFactory.Instance.CreateLayer<FeatureLayer>(layerParams, map);
}