We show films, TV and other content that we either broadcast on TV or that we have purchased on DVD or rented through our online streaming service subscription. Do we still need a licence to view or show it in public?

Yes. The location requires a licence regardless of who owns the content. While you may have rented, borrowed, or purchased an audiovisual programme, you are only granted the right to view it for personal, private use, not to perform it in public.