It may be possible to change your network connection to a factory default password or an unsecured connection if it's unsecured by default. Do you have a manual that may give you the default settings?
If not you probably have to connect to the router with a network cable log in to and set the password to whatever you need. If you changed the SSID (network name), you may need to restore that as well.
You can probably find the manual online somewhere. If you installed software that came with it, the manual may even be on your laptop? I'd just use a cable to login and sort it out, but I have plenty of cables. You probably got one with the netgear?
If it's a netgear and you have reset it it will have a default IP address of 192.168.1.1, and to get into it you need username "admin" and password "password".
So connect to it using an ethernet cable and launch your web browser. Type in "192.168.1.1" into the address bar and you will see a web page produced by your router. You will need to log in with the username and password as above, and then you will be able to put in your settings. To get on line you need to put in two things- your ADSL username (or login or ID it may be called) and password. These will have been given to you by your ISP and will look like user@bigISP.net or something like that and the password may be on you chose or may have been sent by them. Once you've done that you can get on line, and as for the name of the wireless network and the security on it- that's up to you; you can choose anything you like.
"So the question is once I have plugged the cable in how do I set up a new ID?"- not quite sure what you mean by this but if you mean creating a new wireless network, you'll see it in a menu of things you can do with the router on the left of its control page. But forget about that for now- concentrate on getting the blighter on the internet, which you do following my instructions above, with a cable. Don't try to do it without one.