Not necessary to drain the engine oil. Just replace whatever does leak out. You should perform a governor adjustment a “realignment” does not always work. Adjustment is a simple process.
Loose the pinch bolt on the governor arm. There is a hole drilled in the end of the governor shaft. Use a Allen wrench or small screwdriver to turn the shat counter-clockwise and hold it there. Gently lift the governor arm so that the throttle shaft is wide-opened. Tighten the pinch bolt back down properly. (sometimes a third hand helps)