I chatted with Kenneth on the Support Chat, and was able to get everything working properly. It turned out there was a minor issue with the Z-Wave module. It required a full uninstall, resetting of the SmartThings Link to get it to start working again. He was doing some things on his side to help the process. He mentioned that if anyone else has the same issue, to make sure they contact the Support Chat first before doing the full uninstall and reset, that should only be the very last resort and that it may not be what is causing the issue, he mentioned that the issue most often is an error in the exclusion step. Again thanks to @RBoy and Kenneth in the SmartThings Support staff for your help!