during a new moon
No. None of the lunar surface is visible from Earth during the New Moon phase.
because the sun is shinning on the moon which makes the moon visible
a
still called a moon
because the moon is behined the earth
The moon is visible during the day but it is most visible at night and early morning, but it is somtimes visible throughout the day.
A lunar eclipse happens during a full moon
Full Moon, of course.
None of it really unless the silhouette is visible because of a solar eclipse or from the earthshine
The moon is visible on Earth. That's where we get the idea of months from - from the different appearances of the moon at various times during its orbit around us.
During the entire year of 1950, the Moon was certainly visible during the day during parts of it. Over the course of a year, the Moon goes through all of its phases 12 1/2 times.