The first draft and the second draft can be decided by yourself. When the teacher writes a draft of your article, it is mainly necessary to distinguish how many times you have received your paper. Generally speaking, I am used to adding time after finalizing the paper, because it may take a long time to revise the paper. If you don't distinguish each time, you don't know what you changed and how you changed it.
It doesn't matter who decides, the most important requirement is that the name be different after revision. I suggest you send it to the teacher when you send it (revised draft) to see how he will change it.