Andy has a framed newspaper behind his desk. The headline is from when he caught Fairway Frank in The Possum (2010).
When Chris holds up the Parks and Recreation logo sign to Tom and Jerry to assign them to redesign the logo, the logo on the sign is actually the show's logo.
0.000003 square miles would be about 9.14 feet by 9.14 feet, which is very close to how large the actual "park" looks.