You can verify if CQ is installed properly through following steps:
Make sure that you can access HOST:PORT/crx/explorer/index.jsp
Make sure that you can login as "admin" "admin"
Make sure that you can access felix console HOST:PORT/system/console and login as "admin" "admin". Also make sure that all bundle is either active or fragment.
Make sure that you can login as admin in author instance as "admin" "admin" as HOST:PORT Or you can access HOT:PORT/libs/cq/core/content/login.html