2 weeks and slow comfortable itinerary means that you must start off with the idea that there will be large sections of Ireland that you simply won't see on this trip. That is okay because it gives you a good reason to come back! Don't try to see everything in such a limited time. You don't mention if you will have a car or not. This will make a difference on how people respond to you.
I spent 2 weeks in Ireland and Northern Ireland with my sister last summer and we left everything south of Dublin/Galway for another journey. My favorite places were the Giant's Causeway area in Northern Ireland and the Aran Islands off the west coast of Ireland. My sister's highlight was the Ireland School of Falconry at Ashford Castle.
We stayed at the Bayview Hotel in Port Balintrae for 3 nights in the Giant's Causeway area. The view from our room out over the small harbor of this town was breathtaking. The restaurant and service were excellent at well. Port Balintrae is still somewhat of a tourist destination, but it is where people from Ireland come to holiday. The Americans seem drawn to Port Rush or Bushmills. Both of these other towns are a short distance away. Bushmills is a one mile walk. It is about 4 miles to Port Rush, but a bus can easily get you there if needed.
We found the walk from our hotel to Giant's Causeway was outstanding. We crossed a sand beach and walked up and around some gorgeous headlands. We arrived at the visitor's center relaxed and happy. The next day we walked to Castle Dunluce and then on to Port Rush. Once again simply gorgeous scenery. You see all sorts of things when you are walking along that you would simply miss in a car. One of these are the amazing caves and sea stacks along this stretch.
We stayed two nights in the Aran Islands. It is such a treat to spend extra time there. I think a day trip is just too, too rushed for this spot. We also rode e-bikes for the first time in our lives and loved them. We felt about 30 years younger on those bikes. Instead of dreading a hill, I just pushed a little button on the bike and had some assist as I pedaled up. Riding around the island and just enjoying the peace and scenery when most of the tourists have left for the day was quite pleasant. (we Stayed in the glamping pods here. Small kitchenette and bathroom are in the units. Less than 5 minutes walk from the ferry)
Now, where would I spend less time? I would not bother spending much time in Galway ever again. It sadly seemed like a caricature of what tourists think Ireland should be like and so many things seemed contrived. If you want to spent a few "city days" in this part of Ireland, I would suggest Westport. It still has quite the tourist emphasis, but it just seemed a bit more real.
We also enjoyed three nights in Dublin and 1 night in Belfast. We specifically targeted the places/experiences that appealed to us in each of those locations. I was surprised at how much I enjoyed the Belfast Titanic experience. I am not normally a big "Titanic" fan, but this exhibition/museum is so well done that I highly recommend it.
I am looking forward to exploring more of Ireland on the next trip. Remember, you can't begin to see all. Don't try to do so.