1999 Honda Accord alternator

All the red warning lights on the dash are on, the battery will go dead after alittle driving, the transmission sometimes will act like it is in nuterul but will eventually engage. The warning lights on the dash stay lit even after the battery has been fully charged. When running at about 70 mph the lights on the dash will go out or dim as long as that speed is maintained, the alternator is testing an output of 12.9 volts.