Go to Preferences -> JBoss Tools -> Runtime Detection -> Download and try to download EAP 6.1. You will be shown this link:
Click this and after you log in you will be shown this message unless you have a subscription:
You do not have access to the requested software.
Would it be possible to point to the link from http://www.jboss.org/jbossas instead? That one starts downloading EAP 6.1 immediately.