Do you mean "Rev I?" That's the 802.11n router with two antennas. It has gigabit Ethernet, while the older router has 100 megabit Ethernet. That could be what is causing your D-Link switch to not work right. You should check the status lights on both ends of the Ethernet link to figure out what is going on.
You may be better off purchasing a 802.11n router or access point from another vendor, as the Verizon router is not a good deal.
Good Luck.