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Several of the other sheets have this pattern of indentations throughout the entire sheet, almost like they got pressed into a waffle iron. I'm hoping that there is some way, other then soaking and pressing them, to remove the indents. Will they press out without getting them wet first? I would like to maintain the original gum on these too if possible.
Your description of the "waffle" pattern sounds like natural "gum breakers" that are common in the US stamps of the mid-20th Century. They appear as a pattern of vertical/horizontal/both indentations, depending on the stamp. You cannot press them out. They will disappear when you remove the gum. That is why you don't see them on used stamps and no-gum stamps.
Regarding the stamps stuck together, you can use a "sweat box" or StampLift. But both methods will result in damaged gum. Since those sheets are rather common, it's probably not worth the expense and effort. I would suggest just soaking them apart and using them with a gluestick for postage. Because being stuck together usually indicates they were not stored properly, and they are likely to have "other" problems as well.