I don't know whether someone already mention this bug or not, but if you delete the game save and restart the game, when you try to cross the river, you won't trigger the scene of hopping on Augustus head.
Instead you'll take out the swim floaties that should get in the later game and start swimming, then when you swim to Augustus house you can gossip and talk to her but you can pick the logs, and her name will be ??? , after you get the swim floaties(exchange the dildo Maverick ) then Augustus will tell you her name and you can finally pick the logs on the island.
I'm a player from Taiwan and this game is really great , can't wait for the next act!