How do I connect my new chandelier?
The core of your question is a standard wiring scenario: You have the hot coming through the load and the switch at the end.  Your proposed wiring is correct.  Diagrams are easy to find online, e.g.,



Of course you should be wary of cables (4) and (5): If they are properly terminated in the work box you can leave them.  If they are wired into the switch right now you should disconnect them until you find something else in the house that is not receiving power but should, and then remember that you now have a hot in that junction box you can tap.