a. The characters are a mother and her child, Treasure (we don't know whether this is a boy or a girl). Some of the teennager's friends are also mentionned but do not appear in the conversation.
b. It is a typical parents-teenager relationship !! There are having an argument and we can deduce that it is neither the first, nor the last one.
c. Treasure wants to go to the Strobe Club with Lizzie, Rosie, Henri and Sam because there is some Indie music at 10.30.
d. Treasure's mother doesn't want something bad to happen to her child: she knows the dangers of an evening late, especially for naĂŻve people like children. Even though she doesn't want her child to come home late, she agrees to let him stay until midnight if and only if she can drive him home.
e. Treasure is totally opposed to that idea and preffers thinking his mother is unfair and has a huge lack of confidence in him rather than trying to understand why his mother is reluctant.