I was wrong about the modem; it's a Westell 6100 and does not have a router.
I also discovered that he has AOL DSL service which happens to be provided by Verizon so when he hit the reset button on the 6100, he wiped out his account info!
That's probably why the tracert kept trying to connect to activatemydsl.verizon.net.
I spoke with VZ Tech Spt -- Jody who was terrific! -- who had me go to 192.168.1.1/verizon/redirect.htm and click the "disable" button. Apparently that disabled the need to have a VZ account. He was then able to log into his AOL account and now he's a happy camper.
Jody described the situation as being in a "walled garden", a new one on me.
Thanks for your suggestions.