You need the first ability in the castle to get the next 2 abilities one in castle one in city
If you want to give it another try use the following hints:
In the castles first room at the top there is a room where you must defeat enemies to make platforms move and that ability lets you complete the room with the platforms. Both are near the room you got frustrated with
(making rooms when you have mastered your own movement is very weird as I wasn't sure that was too hard or not)
looking directly at the wall pads and following the lanterns helps in that room
Then another ability in the city is at the top of the tallest tower