Yeah, marty1107 on Ebay is great for mirrors. I'd suggest not even trying to clean the mirror in your camera and just install a new one. A nice thing about marty's mirrors is that they have a front coating on top of the reflective surface that hardens the surfaces, reduces tarnishing, and even allows for light cleaning.
The screen in the D is two pieces. If you use liquid and it wicks between the two pieces you'll need to open them up. I suggest planning on removing the screens. The lower screen is plastic; do not use any solvents or such on it. Dishwashing soap and warm water will do, lightly rubbing around with a finger tip or small paint brush.. Also do not rub it as you can scratch the fresnel grooves and it will look bad. Make a note when you remove the plastic piece as to which side is facing which direction; one will be similar to ground glass and one will have the circular grooves of a fresnel lens. The top piece is actual glass so standard glass cleaner is fine, although the lines might get removed. Let both pieces dry well before installing.