I installed and tested ArcGIS Server 10.2.2 on my workstation computer running Windows 7 Prof. The "ERROR: unable to connect to publishing tools service. Verify the service is up and running" message occurred if I chose "user from windows domain, role from built-in store" option in Manager. After I chose the "both user and role from windows domain" option, and followed "Securing web services with integrated windows authentication" http://localhost:6080/arcgis/help/en/#/Securing_web_services_with_Integrated_Windows_Authentication/... , there would not be such error any more. Hope this helps.