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Fret Buzz/Nut Question

I just picked up a Fender MIM Precision off of Ebay and there's a slight fret buzz on the A and D strings. When I apply some pressure to the strings behind the nut, the buzz goes away. Is this a fret issue or a nut issue? Thanks.
 
I gave it a quick, temporary fix by applying a "paper shim" to the nut. Looking at the strings from a side view as they pass over the nut on the north side I can see why this would be a common problem...the A string has the least amount of down pressure of the 4 strings. Any such device as a 3-string tree that would be mounted laterally to the E tuning peg?