According to Google Maps this pub, established in 1866, has ceased trading.
Back in 2016 I came across the following message online: We at The Haven Bar would like to thank all our customers & friends for your understanding while we carry out the necessary works and renovations to the premises .Good news is that renovations are progressing well and we hope to be reopened soon. We would like to thank you all for your support and well wishes. Looking forward to seeing you soon."
The owner of McCoys John Costello was interviewed by a local newspaper and they indicated that they had the Limerick bar stripped, transported and rebuilt as an authentic Irish bar in Alicante.