After trial I have paid for lightroom yet the app still asks me to pay? What should I do?

DomGol if you have a purchased license then it may be that there is a connection error between the computer and our activation server.  You can find details on how to resolve the connection error at Sign in, activation, or connection errors | CC, CS6, CS5.5 - http://helpx.adobe.com/x-productkb/policy-pricing/activation-network-issues.html.