Because of the audio redactions, I'm not certain if there may have been an initial discussion between the 15 yo and the female JW. If so, then it would have been most appropriate if the female JW performed the follow-up call with the girl, not the male JW.
Security cameras and video doorbells are now common, so anyone passing by or approaching any home needs to anticipate they may be recorded.
The mother had a right to ask the identity and purpose for anyone asking to speak with any member of her family and she had a right to decline permission for her minor daughter, especially when the callers (plural) refused to identify who they are and the group they represent when specifically asked.
JWs have an obligation to identify themselves and the purpose of why they are calling. They are attending people's homes, the home occupant is not attending a clearly marked JW facility. A homeowner knowing they are JWs cannot be assured. While the male JW stated their visit was to share 'wonderful thoughts from the bible', they inappropriately did not state they are JWs or which congregation they represent.
Once permission was denied, we can assume the JWs departed peacefully and without incident or action. As all they did was simply to ask to speak with the girl and there was no suspected sinister or illegal purpose, there was no cause for the mother to involve police or TV news.
The woman obviously somehow learned they are JWs and the congregation as she later inappropriately and aggressively confronted the male JW within the KH's parking lot.
While pushing away the camera pointed at him may have been inappropriate for the JW, it was also inappropriate to unexpectedly have a camera shoved at him. He was likely taken off-guard by the aggressive actions taken the woman that accosted him while he was attending his place of worship.
Although we might assume it was the woman who is involving the police, perhaps it was the JW that called police due to the woman's actions.