Can a rov that authorized a person to make a false allegation to police against me be called to a din Torah. The rov didn’t know that the allegation was false he never bothered to check it out however this rov is part of the local bais din and they won’t call him to a din torah.
This is a very delicate question, and depends very much on the circumstances of the case. If, as you write, the Rav didn’t know that the allegation was false, the question is whether he acted negligently in believing it or not, and the degree of the negligence involved.
Therefore, it is hard to say whether or not he can and should be called to a Din Torah, although from the sound of things, he won’t be liable for damages caused.
Please see also comments below.