The gist of the story was that Barker was dropping off his two kids with his ex-wife, (former Miss USA/ reality show star, Shanna Moakler), but he refused to leave the kids with her without a certified nanny present because the car of someone he says is a pedophile was parked at her house. Apparently this person is in fact barred by court order from being near the children, according to WPRI's report (see below). An argument ensued and she called the cops.
According to WPRI, who obtained the police report from the Barrington RI. Police department, "Moakler provided the officers with the couple's court order that explained the children's visitation schedule. That order did not require that a nanny be certified, but did state that a particular person was not allowed near the children. The person's name is redacted from the police report. The report says that a vehicle registered to that person was parked outside the building. The officers said that person wasn't there at the time, but his wife was."
That's quite a different story than the one reported by the tabs, but you can read more details based on the actual police report and not unnamed trash media sources - here.