Note that it isn't necessary to move your AM levemir dose just because you are moving your PM levemir dose. If your day-time coverage is good (and based on that one CGM graph you showed it looks like it is), then I would inject your AM levemir the same as you are doing now - which I assume is when you first wake up.
For future reference, here's a link to that earlier (closed) discussion where you present your CGM graph: LINK