Not even going to bother trawling through that.
My advice would be to buy the e-book. Its cheap, and it lays it all out for you really clearly including suggestions on different ways to setup the program according to method, days per week, different accessory styles, etc etc.
But no, you don't do 5 sets of 5 at all. You do three sets of 5 one wave, then next wave 3 sets of 3, then third wave is one set of 5 3 then 1, and deload on the last wave. The percentages for the weight you'll use gradually build throughout the program, and you rep out on the heaviest set for the main exercise. Accessory work is largely up to you.
The reason theres no specific back (or rather, lat) work laid out in the main program is that its primarily a strength program based around competition lifts.
The set-up i put together is balanced in terms of push/pull and theres no reason it can't be.
Again: buy the book. Read it. Read it again. Then read it a third time and put together a program as you go through it.