Hi,
The general workflow is that you register the software, activate the licenses selected and then use Extensions window in ArcMap to check the Network Analyst checkbox.
I have realized after reading my previous posts that you are indeed able to create a new Route Layer, but you are unable to create Stops when the Network Analyst license is not accessable.
It would be very hard to me to troubleshoot the problem, so I encourage you to contact the Esri technical support.
PS. Just to make sure I did not miss anything, you know that in order to create a new route layer you should have a valid network dataset added to the ArcMap?