I am wondering if I am reading you question correctly...to me if I was making this and I have made similar quilts, we would have each star block completed prior to sewing into rows. The corner squares of the star block look like they are made up of a square then two rectangles of the same background fabric, at the end of each rectangle is the diagonal pieced unit which when your star blocks are pieced together create the secondary star block. I can't tell for sure but it looks to me that you have sewn the square into the top of the star sewing the stars together. If that's not the case good, because in every lone star block I have made that is a triangle piece.
If I am on the right track with what you have done you will need to complete each lone star block before piecing them into rows.
If I am totally off track with what you have done so far just disregard!