The relative proportions of our sun and moon, combined with their relative distances, create such a unique event in the Earth’s solar eclipse that astrophysicists have recommended its likeness for interplanetary identification, like an Earth flag.
Yes they can but it would be relatively rare and Deimos is small enough, and orbits far enough from Mars that its apparent diameter from Mars is about 1/10th the diameter of Phobos. So it isnt really much to look at.