Wireless low or no connectivity

The duplicate name usually means you have two computers with the same name and if one is already connected to the network you will get the "duplicate name" message.
To change the computer name do the following:
Click on Start
Click on Control Panel
Click on Performance and Maintenance
Click on System
Click on the Computer Name tab
Click on the Change button
Enter a computer name (different from the name of the other computer)
Click on OK
You will need to click on OK again since you changed the name.
You will be prompted to restart the computer - Click on OK

To solve the limited or no connectivity problem you can disconnect from the network and reconnecting. If that doesn't do it then you can try to reset the network adapter.