Shining sword:
In the Mystic Caves when you pass the first locked gate you'll come to a pit with a switch. There's a piece of wall you can break down there with the scorpion sword. Break the wall, break the weapon rack and get the sword.

Teddy bear:
Near the top of the present-day Mechanical Pit there's a room with a fireplace. A passageway leads out that ends in a watery pit. Head down there, use the scorpion sword to break the wall in the water pit, and then break the weapons rack to get the bear.