IPhone 5 is not connecting to the internet?

I've got at iPhone 5. I've had it for about 1.5 years and so far it has been running perfectly fine. After updating it to iOS 8.0.2, the internet connection hasn't been working at all. I was using my sisters iPad and the internet connectivity was flawless. Help me please. I've already wasted 1.5 gb of cellular data. Also please don't give me a lecture about "iPhones are crap" or "Deal without internet"

Cann u delete a message from two iphones?

Always been curious if there's a certain things you want to delete for a convo on iMessage an not not necessarily caring that the other person read it or not but just trying to delete something from the convo will it delete it from both phones?

How to replace an iPhone's 5 screen?

I'm trying to replace my iphone's 5 shattered screen myself to save some money. I understand the risks and the fact that it voids the warranty. I'm trying to figure out if I need to replace the screen alone or if I should get the LCD part too just in case. And if anyone has good tutorials to share, let me know. Thanks.

My screen looks like this now:
How to replace an iPhone s 5 screen - 1