Does every perspective have to be recorded for the run to be official? At what point at the end of the run is time? When Bob dies? When the stats screen pops up?

Does every perspective have to be recorded for the run to be official? Yes.
At what point at the end of the run is time? When the stats screen appears after killing bob (on the case of multiplayer runs, the host is used for timing).

All of that can be found on the game rules tab btw.