I believe the Update Awards Progress "Tally WAS and Grid Squares only after a specified date" is for a printed report as Don mentioned. You can tell right away by the number of QSO's processed being equal to the total number of QSO's in your log. Since you did relocate, and by more than 50 miles (I think that's the limit in order to maintain QSO credits by ARRL), I would just enter the date you activated your new station location in the same Update Awards Progress window but at the top where it asks "Enter date to start processing, blank for all...." It will then ask if you want to ignore all previous QSO tallies, say yes, and this should re-tally all awards based on QSO's made on or after the new location date. The number of QSO's processed will match the number of QSO's made from this date forward (sanity check) and the Progress display windows should now display correctly.
You'll still have all the QSO's in the log, but the ones from your old station location won't count for any of the tracked awards.
I haven't tried this but a quick thought that it may be possible to enter a filter in Log fields, Awards Tracking and Spotting tab for the State and/or Grid categories, not sure if this would display correctly in the Progress windows.
Dennis may have to chime in...
73, de Brad N8GLS