As noticed by Droid-Life, Google has responded in its product forums to complaints related to multitouch issues for its new Nexus 7 and is rolling out an update to address the problems. The update will bring the Nexus 7 up to Android 4.3 build JSS15Q and a Googler confirmed the update should fix the touchscreen issues:

As a couple of you have mentioned, there’s a new system update that’s started rolling out for your Nexus 7s. This update does address the touchscreen issues discussed in this thread. If you’re one of the people experiencing touchscreen issues, please let us know how it’s going after you’ve received and installed the update.

We also heard earlier this month that Google was investigating reports of GPS problems with new Nexus 7.