From the Super Mario Wiki
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Mario starts near the locked door where throughout the level he most watchout for the egg laying Hawks. Mario must ride the first elevator up to the top where he must then jump over to the middle elevator going down while watching out for a Sniper on a platform that can hurt him. Then must ride the third elevator up to the platform with the key and grab it then carefully use the elevators to make it down without dropping the key on the Spikes then make it back over to the door to end the level.
Pauline's lost items
Within this stage, Pauline's lost items can be found in the following order and in the following places: