im assuming the device itself does not boot up for this, because the red light blinks when you have notificationas as well.
If you plug your device in to a PC, and it is recognized, you likely have a screen failure.
If it is not being recognized, then i would start to think you have further issues. Red flashing LED indicates a general hardware failure, which could be most anything. (battery, camera, etc) most commonly however, it is a board level failure.