Hi @Shannon Abelende ,
I want to confirm with you how did you edit the name column in SPD? As shown below, I can only find the "Delete" button via Edit content type columns.
To better help you, i need more information on this issue. Kindly share here how you edit the column. And what's wrong exactly with your document sets and documents within it? Did you get any specific error messages? Could you check your ULS logs and if there are any related clues in it?
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