Players that have been unable to get new weekly quests prior to a fix by Blizzard have now received compensation for the error.

If you had the issue, you have 6000 experience added to your account to make up for the lost weekly experience and an additional 600 experience for the trouble. Blizzard is still working on getting compensation out for players who missed out on daily quests due to errors and we'll let you know when that gets resolved.

Quote From Blizz_Kauza

Hi all, we have a new update on compensation for the weekly quest issue. A few minutes ago, we pushed out a new (and hopefully final) wave of compensation to anyone who has missed weekly quests up to this point. To clarify, the full XP amount we're giving is 6600 XP: 6000 XP for the weekly quests and an additional 600 (10%).

Daily quests are still being worked on. Stay tuned!