A total lunar eclipse can occur only when we have a full Moon and the Earth is in a direct line between the Moon and the Sun. Solar eclipses occur when the Moon is between the Earth and the Sun.
The moon is full during a lunar eclipse, as it must be opposite to the sun. Solar eclipses happen at new moon, as the moon must pass between the sun and the earth.
No. A full moon occurs when the side of the moon facing Earth is fully illuminated by the sun. A lunar eclipse sometimes occurs during the full moon when Earth casts a shadow on the moon.