Mulcahy's, Packie's and The Lime Tree are the 3 best restaurants in Kenmare, IMHO, all are pricey but worth it.
Davitt's and Prego are good and are very good value.
Florry Batt's and Crowley's are nice traditional bars, while O'Murchu's, The Square Pint are good for late night disco style music and PF McCarthy's and The Coachmans are good for live music.