One of my quests for the day is asking for "a Bird with Owl markings". I have several which should qualify for this, particularly the below, which also has the 5 energy necessary and is no longer occupied with other activities:

http://beastkeeper.com/pet/7394

However, the quest tells me that I have no pets fitting the criteria. Why is that?

Thanks for reporting.

There were some issues with new quest system, they are all fixed at this moment.

Sorry for the inconvenience.