What is a lip? (upper lip and lower lip)
Source


  The upper lip extends from the base of the nose superiorly to the nasolabial folds laterally and to the free edge of the vermilion border inferiorly. The lower lip extends from the superior free vermilion edge superiorly, to the commissures laterally, and to the mandible inferiorly. Around the circumferential vermilion-skin border, a fine line of pale skin accentuates the color difference between the vermilion and normal skin. Along the upper vermilion-skin border, 2 paramedian elevations of the vermilion form the Cupid bow. Two raised vertical columns of tissue form a midline depression called the philtrum. The philtrum is located between the paramedian elevations of the vermilion and the columella above. The labiomental crease passes horizontally in an inverted U-shape across the lower lip, which intraorally corresponds to the depth of the gingivolabial sulcus.


This includes vermilion as well. Dont forget the mucous part inside mouth. 


This whole is lip. 

As for upper cutaneous lip or cutaneous upper lip, it wont matter, both are same and are used interchangeably. And quite frequently 
used is upper cutaneous lip. 
As for latinisation, you can use labium for lip, no such specific word for upper or lower lip, is know to me. But, you can try superior cutaneous labium and inferior cutaneous labium, if you want.