I am also having the same problem. I bought my ipad about a month ago.
1. Sometimes the iPad stops rotating (I guess this happens when an app crashes). It happens to me at least 3 to 5 times a day.
2. Closing an app using the 4 swipe gesture, sometimes brings about the X symbol on all my icons. Although I tried pressing the X buttton on the icon and it doesn't really delete app.
The issue still exists after updating to 7.0.6.
I'm also using an retina iPad mini 64GB with cellular ME828PP/A