When I click for a definition of 'pan' or 'pani', I just get 'you' as an answer. It would help tremendously to know which one is used for men and which one for women.
No. "pana" is "you", when you are formally speaking with a man. "Szanujemy tego pana" would be "We respect this gentleman", or "We respect this man" in more natural English. But if you don't use anything to describe "pan", it's just a form of Formal You.