Vis-a-vis the plot, primogeniture is one of those recurring themes in British fiction of any medium so I reckon you either like it or you don't.
The Christmas special was long but I thought the best paced episode - probably because they had time to film it in the summer. The next season takes place in 1920-1921 so it's not skipping a bunch of years. The daughter being pregnant and the Irish will probably figure into the storyline. However, I can't quite see the Earl making the trip over with his suitcases of white & black tie, tweeds, etc. - his footmen and valet will probably keel over carrying all of it.
Oh and I read there is to be some American connection as they are casting for someone to be the other grandmother ("grand-mama").