Legal Question in Landlord & Tenant Law in Virginia

No, the police are very unlikely to become involved in keeping "authorized occupants out" of a premises where apparently they are still authorized to be merely because you've apparently posted some ad hoc notice alleging that the property has been abandoned.

Your proper course of action probably lies with filing a warrant for unlawful detainer in the local general district court and seeking a writ of possession for the property rather than the self help measures which you seem to have resorted to.