The oldest three members of the Voltron Force wear their uniforms running outside, but not in the footage of reentering the elevators to their Lions (where they seem to gain them, as always, in the middle).
When the Lions are launched, it is supposed to be anywhere from the middle of the night (the Green and Blue Lions) to just before dawn, but the background reveals broad daylight - the footage wasn't changed from any other scene of them taking off.
When Keith fires his "uppercut," the Blue and Green lions are absent from the robeast's clutches for one shot.
There would be no need for Keith to go running through the woods to get to the Black Lion, as it sits on a pedestal in front of the castle.