The moon gravity can cause tides.
The moon's gravity doesn't cause those motions, and those motions certainly don't cause the moon's gravity.
Its mass. The mass of the moon is even the single and only cause of its gravity.
No. The craters on the moon do not affect its gravity.
Not exactly. The Moon's gravity (together with the Sun's gravity) causes the tides on Earth.
The Moon's gravity is the primary cause of tides - all tides, both high and low.
Yes
yes
gravity
The moon has gravity just like the earth and this gravity from the moon pulls the sea around as it changes its relative position to us.
the gravity
The gravity of the Moon, and to a lesser extent, the gravity of the Sun.
The mass