I doubt they would have returned to normal within 2 weeks, fallen significantly yes, but not back to normal. Some areas would be quite clean (I.e hard surfaces) where wind and rain would have washed the fallout away, but other areas (ditches, drains, grassed areas etc) would be significantly concentrated.
So it would be a case of ‘just carry on as normal’
Water sources would be contaminated, areas would be no go zones etc, and without appropriate RADIAC equipment (and the knowledge to understand what it is telling you) you would have no idea.
I spent 58 hours in the Chernobyl exclusion zone in 2008, combination of photo-journalism and being a gopher for some scientist collecting animal carcasses.
I can assure you, despite the significant Soviet attempts to decontaminate the land there were an absolutely shocking amount of areas where my Geiger counter would go nuts, places I didn’t expect as well, like in the lee of a building, inside a greenhouse, etc. granted walking the actual roads etc the radiation was only 2-3 times normal background so perfectly fine, but it me of the forested areas where significantly elevated - enough so that even medium term habitation (weeks) would have been an issue. Short term would probably be fine though, as long as you could get to a normal radiation level area or protected shelter within a few days.
Also
- ground (on or just under the surface) burst produce a LOT more radioactive fallout than air burst due to the amount of ‘debris’ flung upwards
- air burst will absolutely flatten everything underneath it though - like a giant fist had punched the earth
We wouldn’t have a nuclear winter though, that’s deffo been debunked.
If you didn’t perish in the initial explosion (s) then it would be disease/lack of resources/injuries but minimal healthcare that would kill a lot of people next