This was one of the steps that I tried when trouble shooting the issue. I had no success with it.
However, I was able to get my phone back in a working state! What I did was turn off iMessage and Facetime, then reset the network settings (I tried this previously also, with no luck). This re-enabled the LTE on my phone, but I was still unable to receive texts and calls. I reset the phone again, and that did the trick to enable the full functionality.
Thanks again for everyone help!