I hate to tell you this but weatherdesk has become a bit of an outdated mod. The weather site that it gets it info from has changed format several times, which causes those errors you see. The original source code for the mod is awol, and so is the mod author, so getting this fixed is not too likely.
You could check joeblade.com or shellfront.org for info on a litestep mod (sort of) called "GetWeather" by Boreas. It takes a little setting up, but is current.