Full signal and fully connected to Wi-Fi, but can't send texts?

I have an IPhone 5 and last night my phone said no service but was connected to Wi-Fi. So I figured that's why I couldn't send texts although my iMessages were going through. So I reset my connections and it now has all of it's bars as well as being fully connected to Wi-Fi still and I can't send any texts. Why is this?

P.S - Also if you can tell me how to fix my iMessages as coming up as an email on the other persons phone.

No service basically means that there's no radio signal for the phone service. Now, what you could do is switch off the phone, then take the battery out of its compartment… Wait for about 2 minutes or so and then put it back in your phone… Restart it and check what it does.

Had the same issue with mine… And this procedure fixed it.

Best of luck.