We need to create a booking system that allows rape victims to book sessions with a counsellor (who is a volunteer therefore is not on duty 24/7) online. The organisation used to do the booking process over the phone, writing down important information.
This is the package diagram I created for a project. I am not sure: am I allowed to just use the packages as entities for the class diagram?
A package is a tool to structure models by grouping somehow related pieces into namespaces.
It is not unusual to recognize a decomposition that coincides somehow with larger components (e.g. Client, Application and Data). But it is not correct to use packages as a substitute for a class. It may even look confusing.
It is not a problem to keep enclosing or nested packages such as Booking system in a class diagram. But you should use a proper class box for classes. You would then be able to show not only the properties but also the operations in a different compartment. Last but not least, you could be more precise in the relationships between classes, considering that packages are only related via dependencies and some special package operations, whereas classes can be related also with associations, inheritance, etc..
For example, your diagram tells only that Booking is dependent on Client. And this means the content of one package needs to know about the other packages. But in reality Client and Booking should be associated i.e. an instance of Client would be related for a longer time to some specific instances of Booking. In this case, you'd expect that you could easily navigate from the one to the other. Associations also allow to specify multiplicity, e.g. that one client could have 1 or more bookings, but each booking would be for only one client.
Other remarks, unrelated to the question:
