Is there a border dividing life from non-life?

Blood cells are not living organisms and they are not single celled organisms. They are biological components of a larger organism the that serve specific functions for that organism. Red blood cells have no nucleus and thus no DNA. They cannot reproduce and after they leave the body of their host they begin to decompose (due to their lack of ability to metabolize). That is why cryogenically preserved blood only lasts a couple of months before it has to be discarded. However individual blood cells death does not equate to an organisms death unless it is in large quantities as the result of disease, etc. The bone marrow in our bodies produce new red blood cells at the rate of millions per second and these blood cells live for approximately 4-5 months before decomposing back into the blood stream. In fact, none of the cells in our bodies are more than 10 years old at any point in our lives.Thus doku is correct to say that cellular death does not necessarily equate to an organisms death.

But then the question become could this genetic information have chemically evolved naturally in the right conditions (i.e. low oxygen levels in early Earth atmosphere, etc) from naturally present organic compounds & molecules found in that environment. Or not. So again the scenario you pose does not elimate the question of what is life and what is not-life. IMHO.