New UNC Rex Cancer Center to Open for Patients on March 1 March 1, 2022. UNC Rex Healthcare Earns 2021 Leapfrog Top Hospital Award for Quality and Safety December 7, 2021. UNC Rex Healthcare to Open New Holly Springs Hospital on Nov. 1 October 19, 2021. Mito Pereira Wins 2021 REX Hospital Open, Triangle’s Premiere Professional Golf Tournament ....