I think the first picture is reversed and needs to be turned clockwise 180 degrees. Looking west at Manhattan from Brooklyn, the Brooklyn Bridge should be south of, or to the left of, the Manhattan Bridge. This would also explain the oddity of more stuff seen in the reflection than in the "real" view.
The reflection shows more of the city buildings than are seen above and I will need to keep looking to work that out. A beautiful exposure, and perfect time to have taken it, when the lights in the buildings are not yet dominant. A truly great shot.