I got one of the first Nexus 7 (2013)'s. At the beginning there were some build-quality problems by Asus; my tablet, for example, has some backlight bleeding at the top of the screen (only visible when displaying black). Not sure if this problem is fixed in the ones you can buy know, but I think they are.
About the multitouch-problems: At the beginning I had some problems, but the Android 4.4-update solved all of them. GPS is working fine, although I haven't tested it very often.
But it's a great tablet! It never lags, Android Runtime (ART) works fine; I think you know all the benefits.