1. The electric eel in the water won't electrocute itself.

2. The reason is that the current will pass through the path with the least resistance, so when discharging in water, the current will pass through the water (the resistance is smaller than the body of the electric eel), and the electric eel will not be charged by itself. But if the electric eel is caught in the air, because the resistance of the air is greater than the resistance of its body, it will electrocute itself if it discharges.

3. Water can conduct electricity.