Peter Pan/Headscratchers

Disney movie

 * How persistent is the ability to fly given by fairy dust? Everyone except Peter seems to forget about it instantly as soon as they reach Neverland, even in situations when it would be useful.
 * It seems to last only long enough to get to or from Neverland. Note that the Lost Boys are all ground-bound (this is in sharp contrast to the Fox series, where Peter, the kids, and the Lost Boys all fly routinely).
 * If Captain Hook is a manifestation of the father, and the father went with Peter Pan when he was a boy and recognizes the pirate ship, did the father have to deal with a version of himself, or was Captain Hook based on his father when he went?
 * That Captain Hook is a manifestation of the father because Wendy and her mother were telling the story. I believe (based on how much I've seen the movie and what I know from other versions and the original story) that Peter Pan only exists because of the stories told. So, if the father had known Peter Pan as a child it would have been based on the stories that were told to him. Captain Hook was probably a different person, maybe his own father or the mean man down the street or the school headmaster or somebody. Though this could just be WMG.
 * In Return to Neverland, what happened to the crocodile? Did Hook kill it offscreen? Because if everyone else in Neverland is still alive and as young as they were before, there's no real reason for the crocodile to have passed on.