I see. That's unfortunate for sure. We usually suggest not rooting devices, but understand why some prefer to do so. Have you attempted a hard reset on the device, with the soft keys? This may not resolve the issue but wouldn't hurt either.
A 7 inch tab is a great choice. It honestly proves to be easily visible and can be easier to carry throughout the day, as opposed to the larger 10' tab.
Here's a link that would actually assist you performing the reset with the soft keys on your device. You would want to follow the second set of steps. - https://support.google.com/nexus/4/answer/2936226?hl=en