Hi.....the reason I asked about Cork is that while having some interesting things there are richer areas for scenery, history and culture. Kinsale just south of Cork is far more scenic. However it sounds like there are fun things you have picked out there so it's not a bad choice....Not what I'd do on limited time but so what - to each their own. Would however urge you to skip, unless REALLY important to someone, the Blarney Stone. It's on Rick Steves top ten tourist traps in all of Europe for good reason:
Blarney Stone (Ireland): "Busloads line up to kiss a stone on the top of a castle rampart and get “the gift of gab.” The best thing about this lame sight is watching a cranky man lower lemming-like tourists over the edge, belly up and head back, to kiss the stone while an automated camera snaps a photo — which will be available for purchase back at the parking lot. After a day of tour groups mindlessly climbing up here to perform this ritual, the stone is slathered with spit and lipstick." Rick Steves
There are literally hundreds of better things to spend time on that have a real connection to Ireland and its real history. Far better to spend longer periods anywhere else you listed or save time on your way to Doolin by having a day tour of the Dingle Penninsula with insanely beautiful scenery and real Irish history.
Doolin is a great base......with wonderful trad music in the pubs. We particularly loved McGanns Pub with great music and fantastic Irish Stew. If you have nice weather a guided tour of the Burren is well worth it....So starkly beautiful ! Also a day trip to the Aran Islands is wonderful. The cliffs at the ancient Dun Anghosa fort are even prettier and far more wild than Moher. It's a wonderful fun day.
While Galway itself isn't my cup of tea it is a pretty city and a fantastic hub for day tours out to great spots I'm sure you'll love. Try to get out to Connemara.....it is one of the prettiest spots in Ireland. If you're using Galway as a hub the time you allotted is well worth it. If you are going for Galway itself I echo the recommendation of cutting time there and adding time in Dublin.
In Dublin the easy day trip to Newgrange is totally worth it....older than the pyramids it is a moving experience. Also if there and want a great day trip out into the country there are great tours available that will take you through the gorgeous Wicklow Mountains to Glendalough the ancient monastic settlement in a beautiful lake setting with fantastic hikes.
Hope you all have a fantastic trip. All of Ireland is a joy !!!!