Database connectors are critical components enabling applications to interact with underlying database management systems (DBMS), yet their security vulnerabilities often remain overlooked. Unlike traditional software defects, connector vulnerabilities exhibit subtle behavioral patterns and are inherently challenging to detect. Besides, nonstandardized implementation of connectors leaves potential risks (a.k.a. unsafe implementations) but is more elusive. As a result, traditional fuzzing methods are incapable of finding such vulnerabilities. Even for LLM-enable test case generation, due to a lack of domain knowledge, they are also incapable of generating test cases that invoke all interface and internal logic of connectors. In this paper, we propose reinforcement learning (RL)-guided LLM test-case generation for database connector testing. Specifically, to equip the LLM with sufficient and appropriate domain knowledge, a parameterized prompt template is composed which can be utilized to generate numerous prompts. Test cases are generated via LLM with a prompt, and are dynamically evaluated through differential testing across multiple connectors. The testing is iteratively conducted, with each round RL is adopted to select optimal prompt based on prior-round behavioral feedback, so as to maximize control flow coverage. We implement aforementioned methodology in a practical tool and evaluate it on two widely used JDBC connectors: MySQL Connector/J and OceanBase Connector/J. In total, we reported 16 bugs, among them 10 are officially confirmed and the rest are acknowledged as unsafe implementations.