Aight, so, we got cities/metropolitan areas, then we have the outer edge of cities called suburbs (could also be referred to as towns), then we got further out areas, which are rural, which have a lot of agriculture and wilderness.

“Small” and “rural” are used as qualifying adjectives, and typically compound. Rural: generally far from near by cities, lots of wilderness/agriculture around. Small: not a lot of residents or amenities.

Village is not a term that is commonly used, at least not where I’m from (midwest).

Your village is our small rural town: low population density, lots of wilderness/agriculture, not a lot of buildings.