Never use generalizations such as "never." We don't know what might have happened in history; perhaps a garment other than the vest might have been invented and included as a standard part of men's haberdashery. However, you are correct in that a traditional three-piece suit is comprised of trousers, suit coat (jacket) and vest.three-piece suit = if the vest was never invented there would be no such thing as three piece suits.
Correct.handlebar mustached = a long curved mustache resembling the curved ends of a handlebar.
Correct. Commonly called a "bowler" in BrE.derby = felt hat that is round and hard with a narrow brim
Yes.wicker = a weaving technique using rattan round-core sized from the large rattan palm
A high-backed chair of any sort does not usually include a headrest. It just has a high back; that is, the back of the chair is taller than normal. Chairs with built-in headrests are more along the lines of a La-Z-Boy.high-backed wicker chair always has a high back and is always supplied with a headrest = a basket work grandfathers chair
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