"Open all the doors!"
Make a Ghost and use it to kill all the enemies. Touch the bar and you'll teleport. Make Fire and burn the ice (if you fail, ignite the fire again) and place the ghost by the Pirate. Place the fire so it'll burn the wood bar and make Rain to get rid of the fire. Pull the switches and get the Starite.
2 Item solution - Make Radiation and turn the Sultan into a benign Mutant go forward and pull that switch. Make an Engineer and place him on the other side of the ice block so he flips the switch, when you're telported to the room with the fire in the middle drag the Engineer to the switch, and then once more in the room with the spikes. Drag the Radiation to the Werewolf to subdue it, flip the switch and then do the same thing with the Dragon and grab the Starite.