I have known a couple of bunnies at the shelter that did this same thing. They did it because they were bored and needed more mental stimulation. We have pretty small cages there, about 2ft by 4ft by 3ft (depth, length, height), and they only get 30min to an hour to run outside daily, in an area that's about 5ft by 5ft. The smarter bunnies need more things to do and become destructive or do the cage chewing, water bottle chewing/licking that you described, or just are plain destructive. They also tend to be more aggressive. These guys do great once they have a forever home with more space, or are placed in foster care, again with more space.
Definitely try a bigger cage, more run time, and/or more toys. A locking crock may help but honestly he may turn his pent up energy on some other part of his cage that's equally loud and annoying.