does you router not have a security or system log, available from the admin page? Chances are your router is being pinged, but it doesn't mean that someone is trying to attack you What router are you using?
t looks like a standard model with the usual features. As long as you keep the DMZ feature turned off people can not ping past the router into your computers. There are sites available that will check the security of your network from the internet to verify the router is doing it's job. Google ping checks.
EP, glad to see you come back and tidy up...did want to ask a one day favor, I want to enhance my resume , was hoping you could make me administrator for a day, if so, take me right off since I won't be here to do anything, and don't know the slightest about the board, but it would be nice putting "served administrator osnn", if can do, THANKS