The Births Deaths and marriages should be covered by any option on IrishNewsArchives that includes the newspaper for the required date - from my reading of their list the basic option should cover the 'Irish Examiner' for the dates you need, and should include images for the full newspaper.
I would start with the image browse option if you know the date - work out where in the paper the bmd section is - maybe then try general text search in case there are any other related articles or an obituary
p.s. It may also be worth checking one month after the date of death for a "Month's Mind", and also later for possible issues with probate and Wills etc, if a business or farm was involved there can be auctions or sales of equipment, livestock, properties etc