Seeing Digits

Each number in a grid represents how many other numbers can be seen from that square (as a queen in chess, horizontally, vertically, and diagonally, only as far as the first digit in that line.)  Here is a grid using the numbers 1 thru 5:

Meet these requirements for the following scenarios.  Place at least one of each of the numbers 1 to N into

1. the smallest-area rectangle.
2. an NxN square, achieving the smallest sum.
3. an NxN square, achieving the largest sum.

For example, if N=6, at least one each of 1,2,3,4,5,6 must be in the grid.  Let N range from 1 to 8.

Source: Original.