Just finished watching it again and noticed a reference to the Enterprise-E...
On Qo'noS, during the scene when Uhura is speaking with the Klingon, the big circular orange backdrop looks suspiciously like the main deflector dish of the Enterprise-E.
It actually reminded me of the big reveal of Shinzon in Nemesis.
Not so much. Similar though. But it was the deflector dish that caught my eye..haha.. Watch that scene closely and you can basically see the set which looks like the main deflector dish of the Ent-E. Its as though its the same set Paramount used for the deflector dish scene in First Contact...