This attractive, openly gay young actor with large hazel eyes and a sensuous mouth is the second youngest of a showbiz dynasty. Alexis Arquette displayed a surprising acuity and maturity in his portrayal of the lovely, ironic young transvestite Georgette in "Last Exit to Brooklyn" (1989), his first major role in a feature. Growing up, Arquette lived in artists' colonies with his actor parents and siblings as well as in Los Angeles. As a young adolescent, he toured Europe as an actor and a dancer. Arquette was also impressive as Werner Hauser in the "American Playhouse" (PBS) production of "The