Initially, I planned to include the second chapter in the free version after the release of 3rd chapter, yes.
But considering my plans on releasing "Book 1" on Steam next year and plans on changing chapter numbering I might not do that after all. Otherwise, the biggest part of paid "Book 1" will be available in a free demo version which isn't very smart or fair. So probably demo version will stay the same and will include an intro and the first chapter(three chapters after the numbering change).
Hope I didn't confuse you :) I wrote about my plans and explanation on numbering here if you missed it.