Power adapter connected but does not charge (but may trickle charge)
I have a MBA 11" 2012 that, when plugged in, says it is charging with amber light. Power button does nothing, but the internal fan starts twitching back and forth from what I can see with the cover off. If it's left plugged in for about a week, the battery is charged enough for it to boot successfully (like trickle charging, albeit super duper slowly). When it was booted, the time and date were completely wrong.
When plugged in and booted, half of the time it does not recognize the power, and the other half it says the battery is not charging. Could it be the IO board or the logic board, or both? There has been no previous damage or liquid damage. The charger is new. The Genius at the Apple Store said logic board, but that may be the default answer.