I saw people at the beach well past midnight.
Nope
I believe it stays open all night or pretty late for the stars and bonfires
There is a free and open access, all night.
The beach is open.
The hotel is on a cliff. Looking down though, we saw people on the beach a little further from the hotel so you should ask the management. I'm sure there is some access, not sure from where
I don't believe so. Just no fires.
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