Luna's lost belongings locations:
Find Luna's lost belongings in the following locations:

Hat - Sweep leaves up on the right side of the entrance courtyard.
Jumper - On a table in great hall.
Paper - Through portrait on first floor corridor. Or in viaduct entrance.
Shoes - Clock tower courtyard.
Thestral - On a table in FEED-library.

Room Of Rewards trophies:
Unlock the following trophies by performing the corresponding tasks:

Characters Cup - Meet all 58 characters in Hogwarts.
Defence Against The Dark Arts Cup - Cast all defensive spells in six duels.
House Ghost Cup - Find all four House Ghosts.
Nature Trail Cup - Find all animal footprints.

Talking gargoyle locations:
Find a talking gargoyle in each of the following locations:

1. On a small pillar by umbridge's office.
2. On a upper walkway found on the way to the hospital wing.
3. Outside the viaduct entrance.
4. In the transfiguration room.
5. In the paved courtyard on the upper steps.

Flying creatures locations:
Find the following flying creatures in the corresponding locations. They are needed for the room of rewards:

Bats - Below the stone bridge. Go to the stone bridge and light all the torches with incendio. Climb down the pipe to find the bats.
Crows - At the stone circle.
Doves - At the bridge at the viaduct.
Pixies - In a desk in the defense against the dark arts room.
Seagulls - At the boathouse.

Prof. Flitwick's charms:
Complete Professor Flitwick's mini-quest to unlock the Charms room. Go inside and talk to him. He will call out spells that you need to cast on different objects. The following is the order he calls the Charms in:

1. Wingardium Leviosa on a bench.
2. Reducto on a statue of a bird.
3. Reparo on the pile of broken dishes.
4. Accio on a rope near the fireplace.
5. Depulso on a chair.
6. Accio on a rope near the fireplace.
7. Incendio on the plaque.
8. Reducto on a statue of a bird.
9. Reparo on the pile of broken dishes.
10. Wingardium Leviosa on a bench.

Final gobblestone champion:
After beating the 3rd champion look for her near the snake pit champion.

Passage to the seventh floor:
Near the bottom of the grand staircase on the floor that says "Dungeon" there is a portrait that you can talk to and will tell you the password to the seventh floor.

Trophies:

Architecture cup - Find the 12 hogwarts emblems.
Characters cup - Talk to all characters at hogwarts.
Defense Against the Dark Arts cup - Cast each defensive spell in at least 6 duels.
Exploding Snap cup - Defeat both exploding snap champs.
Explorer cup - Explore all areas in hogwarts.
Famous Witches & Wizards cup - Find the 15 wizard plaques.
Friends of the Year cup - Beat the game and find luna’s lost items.
Golden Gobstone cup - Defeat the 4 gobstone champs.
Grandmasters cup - Defeat all 3 wizard chess champs.
Homework cup - Complete the teachers’ sub-quests.
House Ghost cup - Find the 4 ghosts.
Nature Trail cup - Find all of the animal footprints.
Ornithology cup - Find all 5 flying animals.
Portrait Password cup - Find each of the 12 portrait passwords.
School Pride cup - Complete all of the 66 chores.
Secret Statue cup - Find all 12 wizard chess statues.
Smuggler’s cup - Find all 12 of fred and george’s secret packages.
Studious Success cup - Receive the highest grade in all lessons.