Yes and no the helmet should be fine but no bags
A motorcycle helmet would need to be left at the base of the lighthouse during your climb, or at Gift Shop office during your visit. Backpacks are not permitted on the lighthouse grounds. If you're on a motorcycle you could leave your backpack at the Gift Office with your helmet. (If you're in a car we recommend leaving backpacks in your trunk.) Handheld cameras are fine (no tripods, self-sticks, or drones).
Yes and yes
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