You need to have a JSF 2.0 compliant /WEB-INF/faces-config.xml file in order to get JSF to interpret the annotations.
If you already have one or if that doesn't solve the problem, please pay attention to server startup logs if you don't see any warnings/errors.
By the way, your /WEB-INF/web.xml file is declared conform Servlet 2.5 specification. While this may not necessarily harm, it makes no sense if you're using a Servlet 3.0 compliant container. Update the root declaration as follows:
The /WEB-INF/beans.xml is intented for CDI annotations like @Named, @Inject and so on. Just a completely empty file is sufficient to turn it on. It has totally no relationship to JSF annotations like @ManagedBean, @ManagedProperty and so on. It should also not be confused/mixed with each other.
