1. Check for a carrier settings update:
No updates
2. it is running latest of ios. 7.1.2
3,4,5. I turn on and off cell data all the time. When I'm at home, it is always off. I power off/on all the time. I'm on the right carrier.
it definitely isn't a coverage issue. I'm at the same spot when I power it on and off. I sometime leave it on and drive from one end of the city and get no service. If I power it on and off and it will get connection again. As for resetting my iPad, I only will do that as a last resort. And I've a lot of wifi profiles that I saved and I know a network reset will cause me to lose it all as wifi profiles are not backup. The first time this happened to me, the tech at my phone company asked me to do this and I lost them all. The phone still didn't work after that. I was stupid that time as I didn't power cycle my ipad. Also, the issue isn't with my iPad either. I had 2 other ipads and it happened on all of them. The only reason I didn't book a Genius is that this is intermittent but it happens frequent enough that it is very annoying. I had done support for a while on PC's and I really want to do as much investigation as possible before I head there.
Thanks for your time!