MacBook :: No Charge At All - Magsafe Light Barely Lit Green

It started last night when my adapter freyed, melted and became useless (a common problem with the MagSafe). I called to bitch to Apple, but they just wanted to make sure nobody died and no houses burned down and then told me to go buy a new adapter. I did that today, but now my computer wont hold a charge and is stuck at 0% and shows the charged icon over the battery. The weird thing is that the light on the MagSafe head is an extremely dim green. You need to turn the lights off to really see that it is lit, but very weakly.

So, I went back to the Apple store and tried the charger on a different computer and it worked fine. And we tried a completely different charger on my macbook and the same dimly lit light thing happened. So i dont think its the charger. Then we put my battery in a different macbook and it took a charge. So i dont think its the battery. Any ideas??? Is it a coincidence my 18 month old hassle-free (until now) macbook has had two problems in the last 24 hrs? It isn't under warranty.