The tapes release show only the communication between the tracon controller and AWE1549 (and other airplanes) and any other facility the controller communicated with. (LGA tower, Teterboro tower). While all this was going on, supervisors in the tracon would notifying the Port Authority and any other rescue organizations needed. The towers have the crash phones to notify all rescue personnel on the airports, and surrounding areas also. Everything is recorded, but would not be the same recording as the contoller and pilot.
The controller involved was also drug tested after the accident.