This research adopts a three-dimensional, steady-state model of a magneto-hydrodynamic (MHD) nano-Carreau fluid. The model considers non-uniform source-sink effects, thermal radiation, Joule heating, and a rigid plate. The study examines the applications of thermophoretic and Brownian motion, taking into account the state of the stagnation point and mixed convection flow. Additionally, the research investigates MHD, porous medium, and chemically reacting properties near a stagnation point adjacent to a stretching sheet, considering momentum, thermal, and concentrated slips. The momentum, thermal, and concentrated transfer equations are simplified using the boundary layer (BL) approximation. Non-linear thermal radiation and non-uniform heat source-sink effects are obtained as results. By applying symmetry conversions, the system is transformed from nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs), which are then numerically solved. The velocity profile decreases significantly at high Hartmann numbers, while the temperature profile improves due to the effects of non-uniform heat sinks, Hartmann numbers, thermal radiation, and viscous dissipation. However, the temperature profile declines due to thermophoretic and Brownian motion parameters. As the Lewis number, chemical reaction, and concentration slip parameter values increase, the concentration profile decreases. Finally, the model is validated to ensure its accuracy.