Hi Valter,
We confirm that the data in other app at tier level cannot be moved or imported to other application,
The reason for the application name got automatically recrated to new name or old name "Application X" because user did changes to application name in UI and have not updated the monitored jvms startup with -javaagent entry that have agent config referring to old application name , please make sure you update on next jvm restart if you change app name in UI else on agent node jvm reset or restart it will still use old name as per settings in controller-info.xml or -Dappdynamics.agent.applicationName
As we cannot move tier/app level data what we can do here, go to node dashboard to wrong associated app and select "move this node" option from actions meny and see if that helps
