You probably don't need to set a static IP with your setup. DHCP is very much backward/forward compatible. If the hardware link is established, the Mac should get an IP address from your Verizon router.
If you plug your Mac into that switch and you get a Link light for the respective port, it's compatible. If you don't get a link light or the 100M lights, your network card is not compatible with 10/100 devices and you'll need to get a hub/switch that is 10mbps only or a managed switch that can be programmed. Many PDS Ethernet cards are incompatible with 10/100 and 10/100/1000 autonegotiating devices. In my experience, every Asante MCLC PDS I've tried won't link unless the connected port is 10mbps only or forced to 10mbps/half duplex.
If you plug your Mac into that switch and you get a Link light for the respective port, it's compatible. If you don't get a link light or the 100M lights, your network card is not compatible with 10/100 devices and you'll need to get a hub/switch that is 10mbps only or a managed switch that can be programmed. Many PDS Ethernet cards are incompatible with 10/100 and 10/100/1000 autonegotiating devices. In my experience, every Asante MCLC PDS I've tried won't link unless the connected port is 10mbps only or forced to 10mbps/half duplex.