Ireland isn't ... Alaska or Siberia. Things in winter, except perhaps some seasonal tourist attractions, work much like in summer. Phones work, shops are open, petrol stations sell petrol. Several million people live all over Ireland all year round, they don't retreat behind the giant wall around Dublin in October because WINTER IS COMING!!
Roads may be wet but will be passable. There is some chance of storms which have stronger effects towards Western Ireland, but life still continues. If you do encounter a winter storm warning, follow the meterological advice regarding wind and rain.
The main problem I foresee with going to Ireland in winter is poor weather; it can be cold, rainy, windy. That lovely green landscape you see in the sunshine in the tourist photos taken on a good day in summer? It gets its rainfall in the rest of the year to stay that green. Take suitable clothing and plan indoor alternatives. The many fine pubs of Ireland await you.
Irish rainfall guide