Reserve is to walk on Liberty Island around the statue and the other one is to walk on the real pedestral of the statue. I think museum's visit is included but not really sure
The time and tickets are less. The ferry takes one around the statue istead of docking there.
If you want to go up & walk on the actual pedestal instead of just around the island you'll want the "with pedestal" option. Quantity is limited and purchasing at the last minute is almost impossible.
We just walked up to window and purchased tickets. Everyone went through the same screening and waiting from what I seen. So, I'm not sure.
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