Without knowing which router you have (Verizon has supplied several different DSL router/modems), it is hard to give specific directions for your specific router.
1). You can determine your speed by connecting to your router (http://192.169.1.1) and logging in.
Usually the user id is Admin and the password is passwd or password, but on some routers there is a sticker that identifies the password. If nothing works, try reseting the router. Once you are logged in, print out the 'transceiver stats', that will tell you what the speed on the link between you and the central office is. If you post that information, we can also tell you if your line can support a higher speed than you currently have.
2). Once you are connected to the router, you can also check the wireless settings. If you have never set it up, it may be an unsecured network, in which case anyone can use it. You probably want to change that. While everyone says how wonderful WPA2 is, the reality is that any security, even WEP will very effectively discourage and effectively prevent others from using your wireless network.
Good luck.
