Autonomous Tram (AT) systems are an emerging application requiring mission critical services to ensure safe and continuous operation. Key functions such as positioning, track occupancy detection, and obstacle perception depend on uninterrupted communication and mobility support. Leveraging the capabilities of 5G networks is thus crucial to support these functions. In this paper, we investigate the applicability of 5G Ultra-Reliable Low Latency Communications (URLLC) services for AT use case, with a particular focus on mobility challenges. We begin by conducting a comprehensive 5G coverage analysis in a real urban deployment to identify limitations in handover (HO) performance, which may compromise service reliability and, consequently, the accuracy and timeliness of positioning and perception functions. To address this, we propose a 5G Dual Connectivity Handover (DC HO), offering seamless transitions compared to classical 4G-based HO solutions. The proposed HO mechanism is validated through extensive simulations, comparing key performance metrics such as latency and reliability against classical 4G HO approach. Results demonstrate that the 5G DC HO strategy meets the stringent requirements of URLLC, thus enabling reliable support for AT operations in dynamic environments and safeguarding the critical services of positioning, track management, and environment perception.