We have enjoyed four trips to Irelalnd. I would suggest you do your itinerary in a different order and eliminate either Kinsale or Kilkenny.
Google map this and see if it appeals to you:
Dublin airport - Drogheda (first overnight, only about 20 miles north of the airport), New Grange (for a morning visit), Galway, Burren (for a morning visit), Dingle, Kinsale or Kilkenny or maybe Cashel, Dublin (return car, visit city).
Thoughts about this itinerary:
Stay in a small town in County Galway, use your full day to take a ferry from Rossaveal to Inish More and/ or explore Connemara. We really enjoyed Ballynahinch Castle Hotel (near Roundstone). Two nights although three would be better, so you could also explore out near Clifden.
Drive from Galway to Dingle town with a stop on the Burren, a strange rocky area with some prehistoric stones. Use the Shannon tunnel, just west of Limerick. (You could instead go by way of the Cliffs of Moher which we have always skipped.)
Dingle town for two nights. Use your full day to explore the tip of that peninsula.
When you leave Dingle, head just west of Kilarney and enjoy the jaunting car tour through the Gap of Dunloe. Skip Kilarney town, head to Kenmare which is a pleasant small town with several restaurants and pubs with music. On your full day in Kenmare, explore the south side of the Ring of Kerry and / or the north side of the Beara Peninsula. If this were my trip I would spend three nights in Kenmare.
We have never visited Kinsale. Kilkenny was good for a few hours. Cashel is also good for a half day. Glendalough is another very interesting area filled with monastic ruins. Consider overnighting near Glendalough and heading to Dublin the next morning.
Dublin, to us, is just another big city. We both visited there on the trips we took as teenagers and have never revisited. One full day there would be more than ample for us, but everyone has different choices.
Hope this helps.