As part of my own studies of JMB I have tried to avoid PP but just as an insight to the Myths . For a starting point JMB was steeped in the folklore of Scotland,tales from his early childhood as well as the Scots History ,in particular the JACOBITE cause which was only a hundred years previous,The Capt Hook figure is pure "bonnie prince charlie" similar with Robert Louis Stevenson's Alan Breck Stewart in KIDNAPPED both out of place of a time that is gone and will never return, the old way had died , and only the sentiment remains.
The legends of Faery again is as ancient as time in Scotland, One must appreciate that the faery folk are not just the miniscule winged humanoid (mini human) that Tinkerbell portrays Faery folk can be of similar size to us ,or larger, the gnome like faery has the purpose of gaurdianship , they protect a specific stone, tree, grove or sacred place.Supernatual powersand again within the cyclical nature of life , birth living, then death as the Sun and Moon Cycles Winter Solstice birth spring, growth,Summer solstice Zenith of Power/life, Autumn witherand ageing Winter death then rebirth.The Properties of the effect of the Lunar cycle of similar vain but more subtle in form from new moon, quarter moons to full moon returning to the new moon, The Dionysis Cult attach importance to these cycles.
Peter Pan himself is a Dionysis identity, a messenger of the mythological Gods.Again similar to Hook not wanting things to change or captive in a time frame, unalterable,Unfetered and can move freely and can fly taking to the fourth dimention but in that time space but unable to move on or evolve himself.
I hope these brief notes are of help.