Battery looks OK, it's got condition Normal
At the bottom of the System Profiler list it says charger connected: Yes (or No) and one other. What do those items say for you?
Your battery is very, very empty. Sometimes in this situation it can take a good while (30 mins, maybe an hour) before the charger starts charging. I don't know why, something to protect the battery. You might want to plug the Magsafe in and leave it for a LONG time to see if the Mac changes its mind about charging the battery.
Leave it for a couple of hours and see what happens