In the gift shop you can buy a bag that may have something in it
Yes, you can buy a different assortment of bags that have arrowheads, sharks teeth, minerals, gems etc possibly within. And another area where you can pan or sluice the bag to discover what you may have. They have charts so you can identify your finds.
Nope federal law you can't touch anything in the cave
No mining activity allowed, maybe under special licensing or state approval
There's an activity where they allow you to mine gold outside the caverns though.
No, the caverns are educational only, and you cannot touch or disturb them in any way.
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