To detect if you have a softmod, you should run a sysCheck and extract it to the root of your SD Card. Open the SD Card Menu (icon to the left of the Wii-button), let the appliaction run and post the results here.
If you don't have the SD Card Menu, you have a firmware installed that's less than 4.0. If so, extract this sysCheck to your SD Card, and go to Wii Settings > Channels > SD Card.
With the results, we can see whether it's softmodded or not. I can't tell if you have a modchip installed or not, but if the sysCheck says you don't have a softmod installed, you have a modchip as the error #001 can't occur without a mod.
To fix error #001, follow mauifrog's Softmod ANY Wii guide in the Recommended Guides section. This'll softmod your Wii and fix error #001, and allow you to run back-ups.