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On something means that something is next to another thing, and on something means that something is directly on another thing, but the two objects don't touch.
Under sth means to be at or below the horizontal plane, not necessarily directly below it. Below means below, usually not directly below the object compared with it, but sometimes it can also be used with "under", just generally referring to "below" Under … originally means "under …", but it is often used with under/ below in modern English.
Nest to means next to something, and next to it. As far as distance is concerned, the distance next to it is greater than the distance from the nest.
In front of is in front of the inside of the object; In front is in front of the whole object.