If you write, "die of disease" like before with a specific disease's name, but without a specific time, if it takes more than 24 days for the human to die the 23 day rule will not take effect and the human will die at an adequate time depending on the disease.
When rewriting the cause and/or details of death it must be done within 6 minutes and 40 seconds. You cannot change the victim's time of death, however soon it may be.
The names you see with the eye power of a god of death are the names needed to kill that person. You will be able to see the names even if that person isn't registered in the family registration.