Spontaneous self-assembly in the supramolecular entity is one of the enthralling synthetic routes. It produces disparate structure crystal complexes after selecting suitable M-L combinations in the pseudohalide sense. In this attempt, a novel cocrystal is synthesized from two independent components (0D +1D), [PbCd(L-1)(SCN)(2)]center dot[PbCd(L-1)(SCN)(2)](n) (1) using a Salen (H2L1) and NaSCN, which was characterized by spectroscopic, EDX, SEM, PXRD, and X-ray crystallography. The title complex crystallizes in the triclinic space group P1 with unit cell parameters: a = 8.5733(2), b =11.3798(2), c =27.105(5) angstrom, V =2583.95(9) angstrom(3), and Z=4. X-ray structure divulges the de-protonated form of [L-2], comprising Cd(II)/Pb(II) ions placed in the inner N2O2 and outer O-4 compartments. The Cd(II)/Pb(II) metal ions satisfy trigonal-prismatic and square pyramidal geometries. Crystal engineering and Hirshfeld surface approaches delineate the dominant interactions, e.g., H-bonding (36.4%), C...H (20.8%), and S...H (21.1%). The unique chalcogen (ChB)/tetrel bonds observed in its solid-state architecture were authenticated by DFT using the PBo-D3/def2-TZVP level of theory. The QTAIM/NCI plot reveals the nature of these contacts. The S...S distance is 2.499(4) angstrom, and the C-S...S angle is close to linearity (168.8 degrees), confirming the typical ChB. The MEP surface explores the most nucleophilic part at the N-atom belonging to the bonding of Cd-NCS (- 42 kcal/mol). HOMO-LUMO energy gap and NLO parameters provide chemical reactivity and sensitive optical information about the molecules. Meanwhile, Molecular docking was conceded based on total energy with three bacterial proteins like Staphylococcus aureus (PDB ID: 1JIJ) and pseudomonas aeruginosa (PDB ID: 3JPU), and Escherichia coli (PDB ID: 5MMN). Docking and PLIP confirmed the bioactivity of the complex. The compound was screened in vitro against two-gram + ve and two-gram -ve bacteria. The complex had lower MIC (mu g/mL) values (10.1) compared to the parent ligand (32.7), implying greater antimicrobial efficiencies. The time-kill kinetics led to the bactericidal activities of the complex.