A serious mistake is 1. Kf3? leaving the Knight unprotected. Thus you are penalized for Selecting Option 3.
The safest way for the Knight to defend the pawn from the King's attack is from behind since black king must remain next to the pawn and can't continue harassing the knight.
Both 1. Nb4 (Option 1 ) and 1. a7 (Option 2) do just that.
The next step is to bring the white King to defend the pawn and use the Knight to chase Black King out of the corner.
However after 1. a7? Kb7 Black can maneuver between the b7 and a8 and white king can't protect the pawn and free the knight due to a stalemate
After 1. Nb4. (5+ points for Option 1) White King will travel to b5 and free the knight.Then combining the efforts of the King + Knight + Pawn White will easily drive black king away from the corner. 1 point for Option 4.