Yes, they are ALL observable form all parts of Earth provided clouds do not obscure your view of the sky.
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Refer to the following website on moon phases in the 1900's. http://eclipse.gsfc.nasa.gov/phase/phases-1999.html
The First Quarter, New, Third Quarter, and Full
By looking at the night sky and appearance and dispearance of moon and also loooking at different phases of the moon.
A satellite orbitting the earth would go through phases mucg like the moon. It is day and night. The side away from the sun would be dark while the side towards the sun would be light. Our visual observations are incapable of noticing this as even the ISS is very small to the naked eye. It is likely possible to record small changes using a telescope but that's really a waste of resources.
the time it takes from one new moon to the next is 29 1/2 days.