(1) The post office is in the southeast of the gymnasium, the library is in the northwest of the cinema, the hospital is in the southwest of the zoo, the hospital is in the northwest of the store, and the school is in the northeast of the Children's Palace.

(2) The gymnasium is in the north, the shops are in the south, the hospital is in the west, the zoo is in the northeast, the library is in the northwest, the Children's Palace is in the southwest and the cinema is in the southeast.

So the answer is: southeast, northwest, southwest, northwest, northeast; North, south, west, northeast, northwest, southwest and southeast.