Recently I had serious Internet problems, such that my cable company had to come out and put in a new cable modem. During the downtime, I tried every possible thing that I know of to fix the problem, including resetting my Netgear router. Now that i'm back up and running, only my computers with internal wireless cards can access the network. The two desktops with Netgear adapters cannot see the network. "No wireless networks found." One of the laptogs that can connect wirelessly now shows that the name of my network is: "Netgear" instead of what I had named it years ago when I first set it up.

Is there some type of reconfiguration that I must do to get all of my computers back connected wirelessly like they were before problems arose?

If you reset your router, that wiped all settings that you previously had, passwords, encryption configurations and everything else. That may be why your network suddenly is renamed "Netgear" which is the brand of router you have. Your NIC cards in the desktops may have never been configured and are running default also. All units must be configured the same. I strongly suggest that you configure your router to a new SSID, set it to "not broadcast SSID", encrypt using WPA encryption and set a password. All settings on all units must be identical. If Netgear offers phone support with your new router take advantage of it.

Follow rancher's advice and make sure your WPA key is as long as possible and cryptic. I use this tool to generate passwords.

Also, most routers should have a backup function where you back up your configuration file, in case the router gets reset as in your situation. This way you don't have to reconfigure your firewall rules etc, instead you just restore! Take a backup after you set it all up and you should be good to go!

setup wizard will be your best friend reconfiguring your router. most of routers these days has very good setup wizard.

things to consider:
1. accounts form the ISP
2. make sure that tested you WAN(internet) side for internet connection.
3. LAN side, you may also want to setup DHCP, its another story
4. just make sure that your router and computers are in the same network.