The following numbers correspond with the numbers in the image. These are the provinces:
Alderney
Algonquin
Ontario
Euron
Weston
Cascadia
East Brunswick
Silesia
West Brunswick
Unicy
Westborough
New Camden
The following numbers correspond with the numbers in the image. These are the capitals of the provinces (stars):
Foxcoast
Augusta
Orangeville
Dunn
Chicane
Port MacArthur
Austinboro
Churchill Harbor
Cabana
Cambridge
Greensboro
Kennedy Harbor
The following numbers correspond with the numbers in the image. These are (one of the) the largest cities of the provinces (pink dots):
Sydney
Darwin
Vancouver
Tolono
Portola
Brooklyn
Anchorage
Macais
Ballard
Vienna
Paynesboro
Stonebrook
The capital of Qvait, which sits between provinces 4, 5, 6, and 7 on the map, is the District of Stockholm, or simply Stockholm. The river that divides the nation between north and south is the Lincoln. The river that divides provinces 5 and 7 is the Knight. The river the divides provinces 8 and 10 is the Kennedy. The river that cuts through provinces 9, 11, and 12 is the Reagan. The green patch is the Thatcher National Park. All other features that were part of pre-retcon Qvait will be removed except for: named mountains and the Abrams Bay.
EDIT: Near Mt. Kylelm will be the Northborough Ski Resort in the New Camden province.