So it looks like your closest personal weather station (PWS) is pws:INORTHER38. You can set this as the location and it should return the correct time zone and sunrise/sunset times.
In general, you can type in your city in Wunderground.com and click on ‘Change Station’ underneath the city name. There it shows a list of the nearby PWS stations. The first one is usually the closest. The name at the end (in parentheses) is the id. You can then use pws: followed by the id as the location name.