Kagome materials provide a powerful platform for exploring how flat electronic bands promote symmetry-breaking quantum states, yet studies have so far focused mainly on kagome-derived d-electron flat bands. In this paper, we introduce CeRu₃Si₂, a kagome superconductor in which our first-principles calculations show the coexistence of Ru d-orbital kagome flat bands and heavy-fermion flat bands derived from Ce⁴⁺ 4f-states. X-ray diffraction reveals a dominant 1/2 charge order with a much weaker 1/3 component persisting up to room temperature. Theoretical calculations further highlight the correlated nature of these charge-order states. Deep within the charge-ordered state, magnetoresistance emerges below 80 K and strengthens further below 30 K. Zero-field muon spin-rotation measurements show no time-reversal symmetry (TRS) breaking in the normal state, in contrast to LaRu₃Si₂ and YRu₃Si₂. However, an applied magnetic field induces weak magnetism. Across the ARu₃Si₂ family (A = La, Y, and Ce), the superconducting transition temperature T_(rm c) scales linearly with the onset temperature of normal-state TRS breaking T_(rm TRSB) and the magnitude of the field-induced magnetic response, revealing a direct positive correlation between normal-state symmetry breaking and superconductivity. Furthermore, we identify that CeRu₃Si₂ is the first 132-type kagome compound to host nodal superconductivity together with spontaneous internal magnetic fields, providing clear evidence for intrinsic TRS breaking in the superconducting state. These results establish CeRu₃Si₂ as a unique platform where intertwined kagome d- and heavy fermion f-electron flat bands generate a rich hierarchy of electronic orders.