Dublin: Explore Festivals and Events in Dublin with Visit Dublin
Brazen Head - Oldest pub in Ireland http://www.brazenhead.com/
Trinity College and check out the Book of Kells - illuminated manuscript http://www.tcd.ie/Library/bookofkells/book-of-kells/
If you like Literary connections try Davy Byrne’s (mentioned in Ulysses) off Grafton Street http://www.davybyrnes.com/, or others http://www.dublincityofliterature.ie/dublinliterary/literary-world/dublin-literary-pubs.html
Guinness Storehouse: http://www.guinness-storehouse.com/en/Index.aspx
Grafton Street (pedestrians only) and Temple Bar area have lots of restaurants, galleries, pubs, museums http://www.museum.ie/, and shopping in close proximity.
Kerry:
Killarney National Park http://www.killarneynationalpark.ie/
Ring of Kerry drive (or bus) - You’ll have lots of pub, dining, music and entertainment options in the evening - just ask at your Hotel, B&B or pub!