Loveys,
We were so impressed, seeing the Stature of Liberty!
I would just advise that if you are packing a lunch, and are planning on eating on Liberty Island, this would have to be eaten first (and everything discarded), as no larger backpacks, packages, etc.. are allowed thru security into the base building.
You will also go thru a quick security check before you board the boat.
But, I am thinking that you may be able to get your picnic pack thru that initial checkpoint???? If you haven't checked, you might want to go the web-site and read the fine print, or call.
If you planned on eating at Battery Park, then, of course, no problem.
I am not remembering if it is easy access to the nice outdoor dining area from where you exit the ferry boat or not. This is where we exited the Statue of Liberty, where the cafe and gift shop is located.
I can tell you that the cafe with burgers, sandwiches, etc is really not bad.
Better than most food service at these kinds of places.
We ended up having lunch there.
NOTE: if you want to use the elevator to go up to the top level of the Pedestal Building... Great Views! (which is advised to save a few flights of stairs, if there is not a long line for the small elevator) do NOT... do NOT... get off except for at the top and then back down to bottom level. There is one elevator exit at the MID level which is 'exit only - no re-entry'.... DO NOT exit there... (even if the lame elevator operator stops it there like it is where to get off!!!) If you make that mistake, you will pay by having to go down about 5-10 flights of outdoor stairs, in the sun and heat, and then around and back thru security if you have not seen all the museum exibits in the base of the Pedestal Building.
There were more than one party that this happened to who were actually complaining about this situation once they got back down and around.