When it comes to publishing services with ArcGIS 10.2 for Server, the sharing process starts directly in ArcMap by clicking File > Share As > Service... which leads to the service editor. There you can specify important parameters (which can also be changed in the ArcGIS Server Manager), e.g. if the service will be dynamic or cached.
Later on, for administering ArcGIS 10.2 for Server it is recommended to use the ArcGIS Server Manager via the URL:
http://<myserver>:6080/arcgis/manager/

ArcGIS Server Manager
With the ArcGIS Server Manager you can
| • | add extensions like the Server Object Extension to the site |
| • | activate the Server Object Extension in the capabilities of the SynOutputService |
| • | manage services |
| o | stop or restart a service |
| o | edit permission for a service |
| o | see the workspace of a service |
| o | delete a service |
| • | administer roles and users of your GIS server |
| • | specify the level of detail for creating ArcGIS 10.2 for Server log messages |
| • | retrieve ArcGIS 10.2 for Server logs in case of troubleshooting |