Methods and apparatus for controlling monitoring operations performed by various devices, e.g., access points, in a communications network and for using information obtained by the devices which perform the monitoring are described. The methods are well suited for use in a system with a variety of access points, e.g., wireless and/or wired access points, which can be used to obtain access to the Internet or another network. An access point, which has been configured to monitor in accordance with received monitoring configuration information, e.g. on a per access point interface basis, captures packets, stores captured packets, and monitors to detect communications failures corresponding to communications devices using said access point. In response to detecting a communications failure, the access point generates, an event failure notification indicating the type of detected failure and sends the event failure notification to the network monitoring node along with corresponding captured packets.