Yes, that is damage.
What in particular do you see? I see a little damage but I may be missing something.
Be careful with youtube, there is more misinformation there than good information. The 1982 D cent you are looking for is the copper, weighing...
Looks like it might be smooshed a little bit, could also be a small die chip.
What specifically do you see that you feel may be an error?
No, not an error, it is just damaged.
Usually by weighing them, a copper cent weighs around 3.11 grams. That is not necessary on yours though, the beginning of zinc blisters are visible.
No, they are either large or small, not both. Both of your 1982 d coppers are large date, they really are easy to tell the two apart. In...
The coin on youtube is clearly just damaged as well.
Those are large date.
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