Don't think he has to do background checks on the parishioners, just the staff, and he probably has or should have hired the staff to do that. With a congregation of 10,000 they are probably flush with funds unless they have transferred it to President Clinton and the Catholic Priest legal defense (of sexual abuse) funds.
Of course he wouldn't do background checks on parishioners, that wasn't my point. I neglected to take into account that laymen perform many of the priest's duties in the Novus Ordo churches. I am pleased that the standards are tightening and that this priest was held accountable for his inaction.