Lars,
I have reviewed your screenshots. screen11.png shows mavenprj-ear which contains pom.xml, but the project that you have attached doesn't contain pom.xml.
I see Maven build errors, but those errors happening because workspace resolution doesn't work for a flat layout project. You can ignore them.
A Maven EAR project can be built by rightclicking *-parent project and calling Run As>Maven clean, Run As>Maven package. You can deploy *-ear.ear file (archive) from the EAR-s target directory or deploy the project using JBoss Tools deploying actions in the Servers view.
Could you additionally attach your configuration:
Help>About Eclipse SDK>Installations Details>Configuration using the "Copy to Clipboard" button?