Hello!
That's quite a hefty itinerary you have there

but it's probably doable....my first concern though is whether you know about driving in Ireland? Some of the routes between places make for a long commute as they're not motorways, and also the road signage in Ireland isn't the best, so get a good map! And secondly, how much you're wanting to see in each city...as there'll be lots of scenery etc you'll likely want to stop at as you're driving - for example, from Dublin to Cork, I'd recommend going over the Wicklow mountains - beautiful. And there's the highest pub in Ireland,
Johnny FoxesFrom Limerick to Galway, I'd recommend a detour to the coast of County Clare, and drive round Loop Head - the scenery is so dramatic.
If you're going to Belfast from Sligo, I'd go via Donegal and head for Derry and go across the coast at the top, as that's where you'll get the giants causeway and Carrick-a-rede rope bridge before heading down to Belfast. I've not been to Sligo or Limerick I'm afraid so can't really comment - your Cork friends may know more...I do have an Ireland blog though which you can see from the link below, which might help with some of your other planning
