This particular snake is called Ouroboros. Ouroboros symolizes eternity. Eternity for what? I like to think we have an eternal plight to ensure the prosperity of mankind.
The woman with the scales is called "Lady Justice."
Taken from it's direct description because I can't explain it well
The blindfold represents objectivity, in that justice is or should be meted out objectively, without fear or favour, regardless of money, wealth, power, or identity; blind justice and impartiality. In her left hand, Lady Justice holds balance scales, which represent the weighing of evidence.
The square & compass combined is a symbol in freemasonry. It is an architect's tool. I am TheMasterArchitect and as such I have chosen that freemasonry symbol for this. An architect is a creator but for this particular instance in DU I am creating a society. I would like the Architect's importance to be up there.
The actual compass represents navigation. I like the compass because for me it represents our governments plight to find a new home.
Depending on your dictionary Genesis could have a multitude of meanings. It also means the mode of formation of something. After the catastrophe on earth in Dual Universe's lore we want to start again. I, one of the sleepers just like you, awoke from this catastrophe seeking to form a new society. I named it New Genesis in remembrance of our new beginnings.
About the color. Firstly, I like blue. Therefore I chose blue. Secondly New Genesis is a peaceful form of government and we don't reign down on our enemies. Choosing "bloodlust" red wouldn't be right for us because as you said red is bloodlust and that just represents a nation of war, which we are not.