Yes, and no. Each lesson will have its own essay. Since you are on Lesson 2, your students will start this cycle with a new issue, a new ANI, and then the new invention idea for this lesson-the 5 Common Topics. They will use this new, Lesson 2 invention, work for the 2 essay of the program.
No, because you will be adding to the practice essay. See the explanation on the practice essay.