I contacted BVI Water Toys about renting fishing gear and getting a personal fishing license. I asked about the boat license and here is their reply:

The due date for the change over was end March. I contacted Conservation and Fisheries last week and it was still up in the in the air what the procedure would be or when exactly this will be implemented.

So we are going ahead as normal.
You can reserve the gear and request a permit. If and when it changes I will be sure to let everyone know.

You can however contact BVI Conservation and Fisheries directly at 1 284 468 3701.