Find all flights in given area and given timeframe?

Hi,

I’m trying to find a way to get a list of all flights that passed through a specific area (airport name would be OK), over a period of a few hours or maybe a day.
Using the FlightXML search function like:
https://flightxml.flightaware.com/json/FlightXML2/Search?query=-latlong "37.601258 -122.413616 37.636882 -122.291737"
only gives me the flights in air, right?

If I want historical data, do I need to buy the flight history?

Grateful for any pointers. Thanks!