EAP versions are the Enterprise version which are supported by Red Hat. You might use this versions for development for free, but if you try to run that in a production environment you need to have a subscription to be legal. You get a hint if you download EAP binaries.
EAP6.2 is a derivative of EAP6.1, there are some new features, enhancements and bugfixes.
But from AS7.1 it might be different, one thing is that the EAP versions is more conservative as it will be used in production, so the focus is on stability/suportability.
For EAP6.2 you will get patches if you have a valid subscription, see http://www.redhat.com/support
If you have specific questions you might start a new thread for this. If you have a subscription you can use the Support Portal and open a case there.
Thank you for your answer
Actually, I found some other information about patches.
It seems the source for the latest patches can be downloaded for free on the redhat site, and can be used freely on a production environment (the license is only for the binaries).