1) What/Who are the Noblesse Oblige/Selecado
Referred to both ways, these are the movers and shakers of Eden of the East. To our knowledge (based on the phones and intro text), there are twelve of them, all are Japanese (or at least in Japan), and each was given 10 billion yen (roughly 100 million dollars.)

Observation: In french, Noblesse Oblige basically means "Nobility Obligates." A more expanded defintion states that it is "the moral obligation of those of high birth, powerful social position, etc., to act with honor, kindliness, generosity, etc."
Question: Juiz clearly states that Akira (Number IX) comes into her/his/its jurisdiction when he enters the Japanese Airport, so why did Number XI go to America? To avoid the other Selecado?

2) Why does the guy in DC give Number IX his pants
...

Obervation: The guy gets flashed by the newly awakened number IX, and then promptly hands over his trousers. With a smile on his face never the less.
Question: Why? This part just boggled my mind. I really hope we eventually figure this one out. There is no logical explanation as to why the dude gets flashed, and decides to give him his pants.

3) What do the Cell phones do?
Okay, so if you got significantly far into episode two, you are aware that the cell phones the Noblesse Oblige have a certain amount of "power" in them. To be more correct, they are the conduit to connect its user to Juiz, who makes their commands a reality. What you might not have noticed was the clear and present cost of these commands. The 10 billion yen seems to be the lifeline of their ability to command, as each command makes the number go lower.

Observation: Number IX has the majority of his money intact, while Number IV seems absolutely broke.
Question: What'll happen when someone runs out of money? Is that why Number IV seems so bent on number IX? Did he take that 20 million yen from the mafia because he had already run out of money?

4) "The abuse of greatness is when it disjoins remorse from power."
Featured in the OP and on the phones of the Noblesse Oblige, this seems to be the tell tell sign of the entire show.The time line of the world is hazy, but we can assume that the Selecado began to work after "Careless Monday." Careless Monday was a missile strike on Japan roughly a year before the show's opening. If each should act under the ideas of the Noblesse Oblige, then the Selecado have been given their power/money to correct something that is clearly wrong. From what we've seen so far, the Selcado act with no oversight, and have been "given" over 1.2 billion dollars to do with as they see fit.

Now, this is just conjecture, but I believe that they chose to give near ultimate power to individuals because the system of people and conglomerates had failed Japan. Only individuals with vision, yet no encumbrances could do what was needed of them by society.

This is probably also why Number IV was so prone to judge IX's spending as "non-beneficial"

Obersvation: The quote is taken directly from William Shakespeare's Julius Caesar. It was said by Brutus, while discussing their plan to elevate Caesar to kill him.
Question: Are all 12 of the Selecado equal in status? Can any of them follow the other's purchases, or is there logic behind IV being able to do it and being a police officer? If so, what other purposes could they follow

5) Is IV going to die very soon?
Okay, this one is me watching the intro way too closely, but if you notice the 12 numbers here, the screen skews and number IV fades away. Could this be entirely intentional? Given that he is the first other chosen we get to interact with, and that he's in a dire position, I think not.

Observation: The first lines that connect are number IX and IV. The last ones to connect are everyone else to number I.