Please read this weeks newsletter "This week at Bungie*.
The short of it the character class pages only count towards current characters and deleting a character re-sets any progress.
English
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I have but that's the thing. If we have the emblems from the quest, we shouldn't be forced to re-do them.
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No one is forcing you to do them. As you deleted your character your progress is now lost. If you want that page to be complete then it's your choice whether you decide to get the quests on your new character.
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As stated in the newsletter the character pages are based on current characters not deleted ones. Pages like history are account based so would not be affected by deletion of characters.