I changed my internet modem and am not using the router I had been using. I have attempted to access Netflix and get error unable to connect to the internet.

If you indeed have a new router then you have new network numbers and the device you are using to view Netflix with will need to be reset for the new network.
is this what you did...
https://help.netflix.com/en/node/85
hope this helps.
btw...new password for the router?

hi Stephen.
Restart your home network

• Turn off or unplug your smart TV.
• Unplug your modem (and your wireless router, if it's a separate device) from power for 30 seconds.
• Plug in your modem and wait until no new indicator lights are blinking on. ...
• Turn your smart TV back on and try Netflix again.
• Unable to connect to Netflix. Please try again or visit: www.netflix.com/help.

Troubleshooting Network Connection Issues

hi Janet.
this is all i could find out.
Turn off or unplug your Blu-ray player. Unplug your modem (and your wireless router, if it's a separate device) from power for 30 seconds. Plug in your modem and wait until no new indicator lights are blinking on.

Netflix says 'Unable to connect to Netflix.' - Netflix Help Center

https://help.netflix.com/en/node/57687
How do I fix my Netflix connection?Restart your home networkTurn off or unplug your streaming media player.Unplug your modem (and your wireless router, if it's a separate device) from power for 30 seconds.Plug in your modem and wait until no new indicator lights are blinking on. ...Turn your streaming media player back on and try Netflix again.Troubleshooting Network Connection Issues - Netflix Help Centerhttps://help.netflix.com/en/node/85Search for: How do I fix my Netflix connection?
Why cant I access Netflix?Netflix says 'Can't Connect to Netflix.' It typically points to a network connectivity issue that is preventing your device from accessing Netflix. Follow the troubleshooting steps below to resolve the issue. While in the Netflix app, tap the Menu button ( or )in the upper left corner.Netflix says 'Can't Connect to Netflix.' - Netflix Help Centerhttps://help.netflix.com/en/node/61114Search for: Why cant I access Netflix?
if you need more help go to this link.
Netflix message can connect Google Search

That sounds like a Nitendo Wii errorcode; assuming your using that to watch Netflix:

From the tech support website: http://www.nintendo.com/consumer/wfc/en_na/ds/results.jsp?error_code=51030&system=Wii&locale=en_US

Error Code: 51030
Unable to connect to your wireless network
Likely cause: Your wireless router may need to be power cycled, or the connection settings have changed.
How to fix: Power cycle your router; redo the connection settings on the Wii and try again.

• Did this connection used to work but has suddenly stopped? "Power cycle" your router and modem. To do this, unplug both the modem and the router from the power outlet. Wait a few minutes, and plug the modem back in. Wait a couple of minutes for the modem to initialize, then plug in the router. Try to connect the Wii, Nintendo DS, or Nintendo 3DS online and test for proper response.
• Erase your old connection settings on the Wii and set up a new one, as your router's settings may have changed since you last connected. We suggest following our guide to create a new connection file and start over. If at the end you still need help, you'll find contact information to reach our specially-trained representatives.

Click here for info on setting up your Wii: http://www.nintendo.com/consumer/systems/wii/en_na/getOnline/index.jsp

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In other words; you Wii doesn't seem to be connected to your WiFi network anymore ...

How to fix: Power cycle your router; redo the connection settings on the Wii and try again.
Did this connection used to work but has suddenly stopped? "Power cycle" your router and modem. To do this, unplug both the modem and the router from the power outlet. Wait a few minutes, and plug the modem back in. Wait a couple of minutes for the modem to initialize, then plug in the router. Try to connect the Wii, Nintendo DS, or Nintendo 3DS online and test for proper response.
Erase your old connection settings on the Wii and set up a new one, as your router's settings may have changed since you last connected. We suggest following our guide to create a new connection file and start over.

visit the CBR Tech Solutions

Straight from Netflix:

The Netflix App error 1016 while attempting to stream usually indicates an Internet connectivity issue. To resolve this issue, follow the troubleshooting steps below.
Powercycle your home network

1. Turn off your device and unplug both your router and modem for 20-30 seconds.
2. Plug in your modem and wait until no new indicator lights are blinking on.
3. Plug in your router and wait until no new indicator lights are blinking on.
4. Turn on your device and attempt to stream again.

You need first to have a wireless router for your wii to receive a signal, once this is set up you need to call your cable provider for the ssid#. This will link your wii to the router so that you can access internet/ netflix. Another way to do this if you don't have a router is to connect your wii directly into you bradband modem using an ethernet cable. I hope this helps.

Are you sure that you're selecting the right type of key? [[WPA or WEP]]

Other suggestions:

• Did this connection used to work but has suddenly stopped? "Power cycle" your router and modem. To do this:
  
  • Unplug both the modem and the router from the power outlet.
  • Wait a few minutes, and plug the modem back in.
  • Wait a couple of minutes for the modem to initialize, then plug in the router.
  • Try to connect the Wii online and test for proper response
  
  
• Change your router's channel setting to 1 or 11. By default, most routers broadcast on channel 6, which overlaps with other channels and may be weaker.

You may have to reset your router and modem.
To do this you simply have to unplug both the modem and router for about a minute. When you plug them back in, wait for the indicator lights to show that the internet is up and running again, then test the internet connection in your WII settings.

Error code 51030 means you Wii is unable to connect to your wireless network.
Try unplugging your modem and wireless router, then plugging them back in after a couple minutes.
While you're waiting for your modem and router, delete your network setting from your Wii, and set them back up once your router and modem are back up.
Your wireless router's setting might have changed and your Wii might not be able to properly connect.