One of my GFCI outlets is dead and discolored. All other gfci's are working. But, the room where this particular outlet is located has dead outlets also.
What should I check?

Are you sure these are GFCI? Did you try to reset. What "room " is this in. Normally a GFCI is not load connected in a room unless it is a basement or kitchen. If this is a bed room or other room they could be AFCI outlets.