Well, I'm not sure if it's acceptable according to rule 4. The verb is implied. It's " (I wish you) Good morning and (have a) good rest" . Maybe we can accept it because we use the verbless version more often.
It's better if we add the verb, like you wrote in the message above, because then no one can say anything about rule 4 after it has been translated. We can add the verb this time because the requester isn't a native Greek and you wrote that you use the version without the verb more often. Can you add it