@kamikama101 - Could you try a few things for us? First, disable any add-ons you might have that aren't related to Flash (especially any ad-blocking software) and see if that does anything. If not (or if you don't have any add-ons) try logging out of AG, closing and reopening your browser and logging back in. Go back to the game and complete a level to see if the quests register then.
If it's still not working after trying that, let us know what browser you're using (including the version number) and what operating system you're using. That'll help the bug gods see if they can recreate the problem.