Not sure if I read yr post correctly, when i first read.
U have the USB modem from Verizon, that u r using for internet connection. U have Ethernet cable connect from the Laptop (LT) to the router?
Not sure if u can connect this way, u might try a crossover cable between the LT and router. Make sure just for peace of mind u r connecting it to the port that states something like modem.
Also check the setting and compare them on the router and the LT.
Usually the modem connectes to the router, then the Node. The router give the gateway and submask information and assigns a IP Address to the other Nodes. Since u r getting the DNS IP Address, gateway and submask from the USB modem. U might want to enter this setting into the router. write back and let us know.