"look" stays "look" in English (if you are really uncomfortable with "look," use "appearance"). The place where the lipstick line (note: you wouldn't say "range" for an assortment of lipsticks) is displayed is a *rack*.

Spécifique, literally, is "specific," but that doesn't work with "look." The normal phrase in English, is "special look"

Here is what LGDT has on "plateau," related to product display:

emballage et conditionnement
emballage carton


tray (a)
A receptacle for which no lid is made, usually a section of a set-up paper box. (a)
Contexte(s): The tray is the simplest form of a collapsible box. In general use, the contents are placed in the box which is then completely overwrapped with a transparent material. A typical use is the packaging of cookies, tomatoes, etc... It provides the opportunity to combine the eye-appeal of the contents with a practical low-cost container. (b)


plateau n m (cdj)
Cartonnage, généralement de forme rectangulaire et de faible hauteur, utilisé sans couvercle. (e)
Contexte(s): Quant aux plateaux carton, leur formage s'effectue sur des types de machines similaires. ((...)) ils permettent le groupement des boîtes de conserves de tous types, des pots en verre, des cartonnages divers ((...)) de façon à former une unité de livraison, par surenveloppage sous films rétractables. (d)

Entrée(s) additionnelle(s):
barquette n f (fghi)
Note(s): Le plateau de très petites dimensions est appelé barquette. (e)