Anyone know what these are?

[Kreth]

I'm no expert, but I don't think the box damage would help with appraisal, as far as being a collectible.
As for whether they're smokeable, I'm on a cell phone, but they look very dry. How well cared for can they be if the box was on fire at one point?
Oh, and according to Google, they were made by a now-defunct NY cigar company.
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