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If there was water in your hull, and yes, there is some, it would find it's own level, and weight down the stern equally. Something else is causing the boat to list to the starboard. Drilling holes is not really a good idea, in that even waterlogged boats won't always drip from small holes. A change in the humidity level will probably get them dripping again.

All, Boston Whaler boats, will drip water if you drill a hole in their bottoms, depending where the hole is drilled and climate conditions.