He was trapped inside the submerged Toyota van after it crashed through the bridge railing.
Constable Deane O'Connor leaped off the bridge into the harbour to rescue Mr Woledge's passenger and work colleague Ashley Donkersley, 23, who had managed to escape from the van.
Mr Woledge's body, which was still inside the vehicle, was recovered the following day.
Five people were treated at Tauranga Hospital.
Mr Campion said the falsifying a log book offence related to the charged man allegedly entering a finish time that was inconsistent with when his shift actually ended. He said the cannabis dealing charge stemmed from a quantity of cannabis allegedly found inside the man's vehicle.
Mr Woledge's parents confirmed they were informed by police last week that charges were pending, but told the Bay of Plenty Times they did not wish to comment.
They also confirmed Greg Woledge's partner Chelsea Findsen, who was expecting the couple's second child at the time of the crash, had since had the baby.