Yes u can
Yes!
Yes you can. They will have to check your bags upon entering for security screening.
Yes. I even brought a tray of cupcakes for a birthday party.
Yes. There is an area outside of the main lunch / dining hall where you can sit to eat. If you have a large group of kids with you, I suggest eating off peak hours because the tables fill up fast.
Yes you can unless they have changed the rules
Yes, LSC has a school like cafe room.
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