You've done a lot of work and research to put that together! Good for you. It's fun, isn't it? :)
I think you are wise to keep the driving to a minimum the first day. Bru na Boinne shouldn't be more than an hour or so from the airport. (We are leaving from that area, and plan to make our "stupid early" flight home from a b&b nearby!) I've not done Trim, but that plus Bru na Boinne may be too much. Do Bru na Boinne first in case you run out of steam. It's a great way to kick off your trip, with the mystery and history of that incredibly atmospheric place. Dublin at the beginning or end, either works--do go to the National Museum, and you will see all the "real" treasures. We visited lots of places that were the homes of great artifacts, but the artifacts themselves were all gathered safely in the climate-controlled main museum in Dublin.
I admit I was disappointed by Doolin, but YMMV. We went for the music, which was good, but not really better than the music we found in many other places. Do save an evening for Matt Molloy's pub in Westport town--most dependable trad music sessions we've encountered. (Though for us serendipity was in the many smaller local sessions we unexpectedly found elsewhere.) In the Westport area, we are doing Clare Island instead of Achill...we've seen some of the Granuialle sites there but I understand there's a bunch of neolithic remains as well. Cool. :) Achill Island looks similarly rich. It's great to have a place that checks many boxes without more travel time.
The rest of my answer is more general. Your itinerary looks like a lot to me. I'd have another look (and a discussion with your co-travellers) to see which are the nice-to-haves, and which are the must-haves, as you've indicated the Giant's Causeway is. And the nice-to-haves can be your "elective" list. I have four things in this area; I'll pick these two or three because it's raining today, or I want to sleep in a bit and do my laundry, or I've already seen three stone circles and I don't really need to see the fourth one. You also want to leave a little time for serendipity. My husband and I have done that kind of prioritization exercise a couple of times, planning our first trip back to Ireland in 16 years.
My other big concern is the different place every day. Does that mean you are doing one night per accommodation? Unless you travel exceptionally light, this can turn into a chore, and is not necessarily efficient. Remember changing accommodation takes time too...packing up in the morning, settling the bill, finding the next location, checking in. We are there for a week this time, and have three "stops": 3 nights in Westport, 2 in Dingle and 2 in the Boyne Valley. That covers my "must dos" for this trip, with room in there for a bunch of regional "nice to haves" within base distance. I have also learned to travel with a "I'll be back" mindset. If I feel like I have to see everything, now, it's too much pressure.
You look like you've really done your homework, and picked some great sites--I'll bet this won't be your "big trip to Ireland", but your "FIRST big trip to Ireland"! ;-)
