How frustrating to not get interviews and to be falsely accused.
It is a tight job market right now in many states. Particularly if you don’t have unique skills in areas of high need (e.g. math, science or special needs). And in some states there is underemployment for teachers so there are others with more experience.
As for being careful – yes – especially if you are a substitute – but – even other places it’s important to be thoughtful about how people will respond. From my experience – it’s really important for parents to know me well. They have been my best defenders against problems.
Good luck in your continued job search.