Push on alternating sides of the connector to disconnect the battery wire from the main circuit board.

If that doesn't work, use a pair of tweezers to firmly grip the sides of the connector and pull straight away from the socket. Hold the tweezers closer to the connector to get a better grip.

To disconnect the cable coaxial cable, slide a thin, ESD-safe pry tool or angled tweezers under the metal neck of the connector (as close to the head as possible) and lift straight up from the board.