Yes you can go into all of the statue except the arm holding the torch. There are three different tickets, island entry, pedestal (into the base of the statue, has great views) and crown which takes you right to the top up very steep metal steps. You can only book tickets through Statue Cruises don't buy from anyone else they are scam cruise by tickets https://www.statuecruises.com/ Island is always available. Pedestal and crown sell our very quickly so book before you travel.
Yes but not the whole statue. When I bought my ticket at battery Park the lady explained you can enter the pedestal of the statue but not the head because you'd need to have booked that at least 2 or so months in advance. On the ticket was written the time at which you could get inside.
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