I'm not sure if a power surge could have caused the ruptures when you are using AC or if the AC adapter could be defective, but I think it would only be a matter of time before the screen became unusable - or the damage could be restricted to just those areas.
While you can change the screen yourself if you are confident in stripping it down - you can Google for the Service Manual or disassembly/replacement instructions for your model - but I'd be inclined to take it in to a reputable repair shop to try and determine the cause.