The number pair (1) indicates that the location of the library is (1, 3).

(2) As shown below: The location of the gymnasium is (2, 9),

(3) If the school is the observation point, then the hospital is located 45 degrees east of the school.

(4)600÷5 1≈ 12 (points).

So the answer is: (1, 3), east and north 45, 12.