There should be a command to make yourself blind/deaf. Therefore, when fighting enemies with gaze attacks, all you need to do is type /c blind and it'd work. It would be attached to "Blind Fight" the feat to check if your character has training.
Not going to happen. Generally, we don't want characters that are blind or deaf. Those impairments are too crippling when it comes to RP, which is what we're here to do.
Fort save represents the closing-the-eyes-bit when fighting gaze stuff I guess.