Page 360. " and the winner wins a Big Book "

This refers to Alcoholics Anonymous, whose 'bible' was written by William Griffith Wilson (Bill W.) and Dr. Robert Holbrook Smith (Dr. Bob) in 1939, and is only available through AA offices or meetings. An online version of the Big Book can be found here.

Page 367. " NNYC's harbor's Liberty Island's gigantic Lady "
Statue Of Liberty
Public DomainStatue Of Liberty - Credit: Emma Bryen

The 'gigantic Lady' is the Statue Of Liberty. With Subsidised Time, corporations pay for naming rights for the calendar year, and the Statue is bestowed with a different product each year to represent this.