Have you used hay, manure or compost that might be contaminated? Every year in the spring time people posted and asked what went wrong with their plants. And a lot of times it turned out to be the same culprit: aminopyralid.
Please read this article and many others on the same topic by David the Good aka Survival gardener. The potato in the last photo looked just like yours. Unfortunately, even if the plant survives, the tubers will be deformed too.
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