After obtaining the first small key and returning to cross the Peahat Wind Gorge, target the last peahat and sidehop onto the banister. From here, jump over towards the grate wind entrance back into the dungeon, making sure to stay clear of the door as to avoid the cutscene trigger.
Run straight for the center of the platform on the other side of the room, and perform a spin attack. This will knock the two Dynalfos off of the platform. Quickly target the vines with the clawshot, and grapple to them before the cutscene begins.
Just roll through the first two fans. Then to get past the last fan, equip the iron boots and quickly sidehop across the falling blocks.
Start by hitting the Aeralfos with either the Bow & Arrow or Boomerang to make it pull out his shield, then use the Clawshot to pull him down to the ground. Take out the Ball & Chain, swing it into him four times, and release it on the fifth swing. The Aeralfos should block the last attack and counter it, however when the ball returns it will hit him one last time. For it's second phase, grab him towards you with the Clawshot and swing the Ball & Chain like before to defeat him.
After the battle has begun, walk forward onto the yellow block until you are about a foot from the edge. Turn around and carefully aim the clawshot at the medallion behind the gates to get to the chest without beating the aerlfos. To get out, simply savewarp.
Simply use a few Long Jump Attacks to cover the gaps without waiting for the updrafts to disappear.
Since boomerang Long Jumps can't be done on the Wii version, instead throw the Gale Boomerang at the Keese conveniently located near the gap. As the boomerang starts to return towards you, target the Keese in order to do a Long Jump. Repeat this process to cross the final gaps.