I think others may have had this and its known, but I've never personally seen it, and do not know information about addressing it, My suggestion however
would be to try and see if you can manage to get the door to be open and shop open, and then click the sign and close the door, etc
and if you can't, chalk it up to closed, and then go mining or something until you can sleep, the sleep, save, and quit and see if a reload helps sort it out.
I say sleep save and quit and all that, because Exhaustion is known to pretty much entirely reset on reload, and if you save and quit early, you will end up knocking your sleep schedule way off the rails, and it can be annoying to set it back up on them - Possible, very possible, but annoying.