What is a Capture Quest? Hallowed Fantasy's Capture Quest is when you're to capture a specific Pixelmon with certain requirements and reply to this post before the mission is over.
What are the "certain requirements"? The requirements vary for each mission, but generally it will be Level, Nature, and what type of Pokéball you need to capture it in.
What do I do once I've completed the quest? Once you think you've completed the Capture Quest, reply to this post with your IGN and let an Administrator that is online know that you have completed it and send them the Pixelmon for analysis. If they confirm that you've finished the quest, you will receive your reward!