I just bought an iPad Mini and when I sync it with iTunes (via the Lightning cable), it appears in iTunes without the usual picture depicting an iPad when the device is selected. When I sync my iPad 3, the picture in question does appear. I did not photoshop the picture but I did photoshop the screenshot to remove personally identifying information.
Secondly, I have an issue with my iPad 3 (full size) not displaying certain websites correctly (I think the software got corrupted) but I tried the software restore and restored the backup. I have even tried removing the cookies and the website data.