The figures spike on a Tuesday owing to weekend deaths not being fully recorded until later on Monday. Also there's a lag from non hospital deaths. This is significantly improved over the beginning of April, but nevertheless could be as much as a week due to the way these are processed... If you die in hospital, you're certified there and then, and worst case, the paperwork will be filed 9-4 the next day. Die elsewhere, and you might not be found until a day or so after the event (being in care doesn't mean in a facility, having a carer visit every other day at your own home probably counts), so you aren't automatically certified... Doctor and police potentially involved with a less direct paperwork process, slowed by the fact that the focus is on hospital deaths. Which is understandable as most who have died from Batflu have been ill enough to require hospitalisation in the first place.
Staff who have caught it and succumbed in the course of their duties should also be treated as work related deaths which would also involve the HSE, so further bureaucracy possible.
Also worth noting that the care homes are largely privately run, and could be argued that they are responsible for managing their own supplies of PPE etc and that simply boils down to poor management/leadership from head offices rather than being the government's responsibility/fault.