Similar to Sudoku, this puzzle style uses an additional mathematical aspect.
The new coordinates can be found by solving the following:
S (E1)(B4) (B3)(A2 + D4 + D5).(D1 + C2)(F1 + B1)(F3 - F5)
E (B5)(A4) (D6)(C5).(C1 + D4)(C3 - E4)(A2 + A3 + F6)
Google Earth does place these coordinates in someones pool, you are close, it is on the other side of the boundary wall.
You can check your answers for this puzzle on GeoChecker.com.