I have one problem with your view. Universe is not old enough, to contain a lot of life.

The universe doesn't have to be old enough, only big enough. Please read this:

Life, Universe & Everything

However, according to my calculations, statistically the first singularity could have occured as early as 10.7 billion years ago, and quite probably as early as 8 billion years ago. Please read Singularity Exopaleontology here:

http://www.futurehi.net/archives/000082.html

Well thought out, provocative, and clearly presented.