Penn, The DNS server message is likely from your firewall. If not then let us know what program it is that is requesting it.
It's likely you don't have a static IP address (one that never changes) and instead have a dynamic IP address (one that changes when needed; usually when you reset your high speed "modem"). The DNS connection is likely because you recently moved to high speed Internet and your firewall is asking to connect on the new ISP's system, but it could be malicious.
I'm assuming you have a good anti-virus program and firewall installed on the system. If not then I'd recommend getting one immediately; then make sure you keep them both updated with the regular updates which can be done automatically if you set it up right. For ease of use I recommend Symantec's Internet Security that offers both in one; if you want a free version of both then there are threads in here discussing those already.
Next I'd recommend you get a router; even if you only have one computer connected. The router will act as a hardware firewall adding a layer of security. There are many types and brands of routers, but for ease of use I'll recommend one of these two depending on your needs.
- If you only need a wired setup then get this one:
Linksys BEFSR41
- If you want WiFi capability then get one that is compatible with your wireless requirements: i.e.
this one has wireless (802.11g) and wired.
Place the router between your computer and your high speed Verizon. Use the router's manual to login to the router and make sure the firmware is up to date. Once your know the firmware is up to date; change your router password at a minimum to secure it.
This setup will provide you much more protection and at the same time fix your DNS problem as the router will handle your DNS issue with Verizon.
P.S. If you get a router with wireless be sure and secure it so others can't piggy back of you your ISP connection or login to your network.