Appreciate any help you can give me.

I've got two Jefferson Nickels.

One is a 1938. Want to verify the front is a cud and know if the back is an error. There is a circle impressed on it going through the writing obscuring is somewhat. Mint or just damage?

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The other has a perfectly round puncture/dent (for lack of a better word) in the back that goes through the coin near Jefferson's nose. Mint or just damage?

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Thank you!