Districts would be a problem as we receive coordinates in the script(s). They would have to hard code the district line (As in, places where 2 districts meet) coordinates, and then check the current death coordinate with against those hard coded in and tell what district it was.
I think it is too much work, and would work better if there was an option to throw down a marker on a "world map" or something. Like:
Just take away all the default gta markers and replace them in your head with a single marker that marks where the person died. But it is highly unlikely that this would be a help at all.
Instead, they could code in a option like.. teleport to users last death position.
Tab -> click person -> Teleport to last death position