  This paper explores the pricing and scheduling strategies of the electric
vehicle charging stations in response to the rising demand for cleaner
transportation. Most of the existing methods focus on maximizing the energy
efficiency or the charging station profit, however, the reputation of EVs is
also a key factor for the long-term charging station operations. To address
these gaps, we propose a novel framework for jointly optimizing pricing and
continuous-multiple charging rates. Our approach aims to maximize both charging
station profit and reputation, considering multi-objective optimization and
continuous rate control within physical constraints. Introducing a pricing
fluctuating penalty for reputation modeling and a linear programming-based safe
layer for constraints, we confront the complexity of continuous charging rates'
action space. To enhance convergence, we explore a soft action critic framework
with novel entropy temperature tunning technique. The experiments conducted
with real data demonstrate that the proposed method can provide extra
25.45\%-52.20\% average JPR than the representative baselines.
