Final answer:
The initial task that should be done at the nursing home in this situation is to file an abuse report with the appropriate agency.
Step-by-step explanation:
The initial task that should be done at the nursing home in this situation is to file an abuse report with the appropriate agency. When a nursing home resident is found unresponsive while wearing a vest restraint, with conjunctival petechiae (small, pinpoint red spots on the surface of the eye) and a linear pressure mark on the neck, it suggests possible strangulation or asphyxiation. These findings raise concerns about potential abuse or neglect, so it is important to report the incident to the appropriate agency for further investigation.