I know that Dublin uses SMR, but do any other airports in Ireland use it?
The wording of this IAA information implies that it's Dublin only:
The IAA also operate an Advanced Surface Movement Guidance and Control System (ASMGCS), which facilitates the safe movement of aircraft and airport vehicles at Dublin Airport, even during poor visibility conditions. The ASMGCS incorporates Surface Movement Radar, Multilateration and ADS-B.
According to the Irish Aviation Authority's website, the ATM systems summary only mentions Dublin when it comes to SMR.