The first one looks like a struck through capped die. The second one looks like what many would call a Dryer Coin or PMD except for the lamination with peel which I have never seen on the so called Dryer Coins. I don't know how the dryer makes them but I think that is what they are usually called.
I suspect that the interior of the first coin was buffed into an unrecognizable blur. The ghost of Lincoln is too smooth for a capped die strike. The complete absence of LIBERTY and the first three digits of the date is incompatible with a ghost bust with this much relief.
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