Looking at both versions of the Lord of the Rings TV show’s map of Middle-earth, it can be deduced that the map is of the early-to-mid Third Age, based on a specific point. The Mirkwood forest can be seen under the label of Rhovanion, and it has an indentation on its eastern side; that’s a result of an event known as the East Bight of Mirkwood - forestry that occurred during the Third Age by the Northmen.
Furthermore, it doesn’t seem possible that the Lord of the Rings series will focus on a young Aaragon either, as has been rumored for a year now, because the map also shows the region of Calenardhon - a kingdom that eventually transformed into the kingdom of Rohan in the Third Age. Since Aragorn wasn’t born until a little over 400 years after the founding of Rohan, it’s impossible for the show to focus on him, at least at that point in time. However, that doesn’t mean the series can’t feature a time jump.