Would recommend some other spots and question some driving times. Near doubling of driving times is correct....So a day you have listed Galway to Dublin to Belfast is going to be an insanely rough car day....Not to mention driving in Dublin or Belfast is not recommended at all.
Second the advice of slowing the pace and enjoying smaller Ireland. Killarney for example is a very touristy clogged city.......traffic, McDonald's and spots designed to grab your wallet predominate. Instead consider Kenmare....plenty big enough with restaurants and pubs but more of a small town feel.....or actual small towns like Sneem, Waterville or Portmagee which are all close to amazing scenery and historic sights on the Ring of Kerry and Skellig Ring.
Agree with Rick Steves....skip the Blarney Stone. It's a lot of time for something that to be kind most Irish folks roll their eyes at. There is so much else to see that involves real history and beauty. Frankly would also skip Cork city altogether and enjoy parts of the county and the beautiful Kinsale area in more depth.
In Wicklow the Goal is an interesting brief stop....though the displays are pretty odd with the mannequins but the drive through the Mountains and stopping at Glendalough is insanely beautiful....and worth every effort to do.
Dingle, Slea Head and the Blaskets are great. The Gallus Oratory and the wonderful town of Balkyferriter are worth stops too
Overall would STRONGLY urge to reconsider things in light of real driving times. Ireland is best seen by having the time to linger, explore an area and interact........not in driving their fun but challenging roads.
Trying to see all the "sights", especially the main tourist traps or even more legitimate main sights is seriously counter productive. Less is FAR more in Ireland. Avoid one night stays like the plague......use a few strategic spots as bases for exploration, save time, exponentially increase your enjoyment and leave time for interacting with the people of Ireland...the people and the little moments make a trip far more than being inside a car and trying to hit everything. You'll have plenty of time to see a ton of wonderful, magical spots. Dublin, Wicklow/Glendalough, Kinsale, the ROK, Dingle, a day trip to the Arans are all worth the effort....Just don't push too hard. Scaling back the pace scales up the enjoyment many fold.
Hope you have a great trip !!!!! Ireland is fantastic.