I'm a little late so this covers the first two chapters. I don't believe I've recently read such an interesting take on Hermione. All the action around Harry is interesting, not sure rather it's an older harry or just what in his head. But It's how your handling Hermione that will keep me reading or not.
All I ask is that you keep all of them real to how you write them... (Sounds funky but hard to do. I do not manage it often enough in my writings. but when I do and it's noticed, the grin is from ear to ear.)