19Down
1st Definition St Andrews Brainbox. Try CRANIUM in Bradfords. Changed word is FLU(T)TER
2nd Definition = pieces left over
Changed word is (I)CE. Here it is used in the euphemistic, Mafia sense of kill. You need a three letter synonym often employed with bump in this context. Then a 3 letter word for dumped, in the sense that a scene might be in the edit of a film. Then a one letter abbreviation for Sabbath
The maths works with the resulting native of an Italian port on the Ligurian sea.