I had similar issue, green light but battery not charging. So I took it to apple store, he tried resetting SMC, no luck, so he did a diagnostic and found that the battery was in good condition, so he took the laptop in the back room and it works now... he took the back cover off as he mentioned to us that there was something that spill in the laptop!!! but don't know what he did. No charge for approx 1 hour of troubleshooting!!!!