Instructions
Locate an injured soldier in the area immediately north of Brother Paxton. These soldiers are called "injured Stormwind infantry" and sparkle slightly to help you identify them at a distance. When you move your mouse over one, the cursor will change to a gray-colored fist clutching an emblem.
Run up to the injured soldier. The mouse cursor will change from gray to gold when you are close enough.
Right-click on the injured soldier. Gold light will glow around your hands and over the soldier, healing him. He will say a few words of thanks and run off.
Repeat this process three more times. Then, return to Brother Paxton and complete the quest for your reward.