This is much better than the original. It feels very cheap though, taking or losing a capital. I piled up an army of over 3000 troops and rushed each enemy capital in quick succession and won the game without having to pay much attention at all to any other cities. In my next game, I decided to play it out and let the most destruction possible occur before ending the game, but my final opponent built an army of several thousands and beelined from one side of the map directly to my capital with that army. You should definitely change that mechanic, because it makes the game short and tactically bland. Losing your capital should severely damage the morale of your men, but it should not cause your entire nation to join the enemy who captured it. At the very least there should be an option to disable capital conquest.
There is also a problem with conquering hexes which lay a little distance away from roads or paths between cities. There should be some way other than physically walking over them to conquer them, otherwise the map becomes a crisscrossing pattern of pathways and altogether not informative or nice to look at. I wouldn't mind going out of my way to grab these hexes, but the four moves per turn limit makes this a waste of time and generally not worth doing.
Other than that, the game is fairly solid and very fun to play.