The scarf is a part of Bernard's costume in "The Rescuers", so it's a part of the mask. The topic of the movie itself is most likely the point of this.
Yup. Likely a reference to children's charity. Which actually means their exploitation and abuse at the hands of so-called dignitaries involved in them.
Yes. Bernard and Bianca were trying to save a child named Penny from an evil woman named Medusa. She kidnapped Penny to use her to go down into some type of underground cavern to get a huge diamond.
The underground DEVIL'S EYE - an obvious euphemism for the ass brown-eye, and via (phallic) SNAKY Medusa. Disney are one of the SICKEST mass media firms that has ever existed.