I'm not sure how to more accurately title the issues, but my primary issues are that I have the Vanguard shaders from the quest "Season 8: First Watch", because I [i]completed[/i] the quest, but I do not have the emblem that comes with it. I'm not sure if my emblem inventory was full or if I stored it, but it's not in the collection book and I can't obtain by any means except for recompleting the quest. It's the last thing I need to get the collection badge for the undying title, and I'm hoping I won't have to redo this quest in the final week of the season. Secondly, I have the Legend of Acrius shotgun on my warlock, but it's nontransferable from that character. I'm not sure if this is intentional or not, but it also says I don't have it in my collection book. I can still use it and whatnot, but it just can't be moved out of my inventory. Really hope I won't have to do that first watch quest again since now I have <5% progress for all my characters.
The Vanguard quest has three parts. You get the shaders for completing the first two parts, and the emblem for completing the third part. If the quest is still in your inventory, you're not finished yet.