[myopius]

BTW, for the cautious, none of these spoilers are for beyond episode 3 in the anime, unless otherwise noted (there are spoilers within spoilers for the manga):

division,

A )

Spoiler for Eyes / Episode 3:

Yep, your reasoning's correct,

Spoiler for Episode 4:

As Light confirms when he decides not to take the eyes.

Spoiler for Revision:

The name, once it's written down, is completely final.

Cause of death is more complicated. You only have 40 seconds after you write the note to specify the basic cause of death (like "ants" or "children") and the time of death (on a side note, it has to be >= 40 seconds after the name is written). You can adjust it within that time frame, like cross off the time of death, but after that you can't. Then you have another 6 minutes 40 seconds (that's 7 min 20 sec total) to write down details, and the same applies: you can cross off parts and adjust it before that time runs, but after it's set in stone. Basically, you could say it's like you have two tiers of specification.

This is all information you can find in the How to Use rules which you see in the middle of each episode.

Spoiler for Cheating?:

Spoiler for Manga, very minor (yes/no answer):

You mean natural death, correct? Then, nope.

Spoiler for Manga, minor (explanation):

Two reasons. #1, the natural cause of death can't be overwritten by the death note. If you are supposed to die at a certain time but wrote yourself to die later on, the death note would not work to also counteract the natural cause of death, unless what you specified happen to address that situation (in which case, it would mean that that wasn't your natural cause of death, just what you thought was your natural cause of death but which you prevented... ahaha, this is a good way to confuse yourself). #2, you can't specify a date you die more than 23 days after your name is written. In fact, the only way you can make yourself die later than 23 days is to write "death by illness" and specify an illness that will take more time.