and the more Naruto delays and the worse Sasuke suspects it's going to be.
You don't need that second 'and' before "the worse."

my ID's a false
I think that needs to be either 'a false one' or 'a fake.' False is probably technically correct, but it's not used on its own like that. The same goes for when Sasuke asks him about it a little further down.

But there is no paper copy of it in the archives of the hospital supposed to have delivered it, isn't it.
You can't use "isn't it" at the end of a sentence like that one--with the way Sasuke stated what he did, it would have to be 'is there?'

Sasuke is tempted to ask him to stop trying to use common sense to justify his assholish craziness, but that would be admitting that Naruto's got a point, so he doesn't say anything.
There is nothing off with this sentence, it just made me snicker madly. Also the recycled sewer-bot line. <3

There, um, may have been other stuff, but I was too busy laughing to notice. Ahahaha, Naruto, just how awesome can you be?