Are you just going around in the ROI or Northern Ireland, too? I was in the southeast of the island a few years ago, near Wexford (County Wexford) and Waterford ( County Waterford).
Lush, beautiful landscapes and rolling hills along with farms, etc.
If I were you, I'd try to experience real Irish food, speak to the locals in the pubs along your way and make sure you drive on the other side of the road.
The one place I didn't go, which I regret, is Galway. The land, rocks/rocky and ocean around that area is grand.
I've been to Dublin a couple of times. Try to go to out of the way places, something non-touristy. Go find and peek at the Book of Kells at the Trinity College Library. Regardless of your faith/belief system, it is a marvelous work indeed... so old, priceless and beautiful after all of this time.