1) What sequence is required for start up? What is best?
You should first apply VDD, then V0 (supply for contrast).
2) What sequence, if any, is required for shut down? In particular, are there any requirements with respect to display signals?
When turning the display OFF, it is recommended to first turn off V0 and then VDD. However, you can turn both of them off at the same time. The display signals are handled by the on-board controller during power on/off.