Sounds like a wiring problem, since both trouble codes for the Oxygen Sensor and Knock Sensor are triggering together.
In your Honda Prelude's engine compartment there is a 4 wire harness belonging to the oxygen sensor and knock sensors. One is for the knock sensor, two wires for the primary O2 sensor, and ground line. The harness is located near the fuse box. Check for a loose connection, and/or dirty, corrosion or debris within the connector. More than likely you'll find the problem there.