Got a response from Blizzard Support, but ofc it isn’t promising.
"Hey there Datrevdo. I’m Game Master Tyaeralcal. I completely understand wanting to get your daily and weekly quests!
I checked into it, and some players not getting dailies or weeklies is a known issue. Our developers are currently working on finding a permanent fix for it in a patch or a hotfix.
We don’t have a way to fix it on an individual basis, but I promise you that we’ll get it working again as soon as possible.
The best way to report issues is a bug report though. Even if it’s a known issue, extra data is extremely valuable. There is a way to report those bugs directly to the QA team, without having to wait on a ticket and deal with the Game Master middleman. Bug reports can be submitted on the Bug Report Forum, which you can find at https://us.forums.blizzard.com/en/hearthstone/c/bug-report
Our QA department will then use the information that you include to try and reproduce the bug and pass that along to our developers to get it fixed.
As an aside, I really appreciate for your patience waiting for me; our queues are pretty backed up right now due to the World of Warcraft: Shadowlands prepatch and the Call of Duty: Black Ops Cold War launch."