pboogers did you try disable and enable it? And/or "force stop" before a reboot?
There a lot of SMS apps out there... Fossify SMS seems a solid choice
de0u If you move the SIM card to a different device, does that device receive SMS?
also a solid question and worth trying BEFORE installing an alternative but AFTER having the standard app disabled and re-enabled and after a forced stop. (and maybe stuff like cache cleaning) and a re-boot.