There are no caves on Astro Knights island.
There is the Volcano on the fire Planet. Jump from the 5th to the 6th platforms when both geysers are moving downward.
There is also Mordred's secret underground laboratory. To enter it :
You do not get or use a bucket on Astro Knights Island.
There is no treasure chest on Astro Knights Island.
There are no bird eggs in astro knights island.
its on the island
Sir peleas gives it to you at the bottom of the volcano cave. (see related question)
How do you talk to the girl in the hay loft at astro knights island?
On every island you have to be the one to save whatever needs saving. That includes the kingdom in Astro Knights Island.
"Cave" - the tunnel from Mordred's Laboratory to the dungeon : push through the wall, which is loose dirt. "Cave"- the volcano on the fire planet (see related question)
Once you have built a new spaceship on Astro Knights Island, it will park on top of the castle whenever you leave the island.
on astro knights island
With Mordred
it is in the left