The ABS (Anti-lock Braking System) and TCS (Traction Control System) warning lights coming on, along with specific fault codes, can indicate issues with your vehicle's braking and traction control systems.

The ABS (Anti-lock Braking System) and TCS (Traction Control System) warning lights coming on, along with specific fault codes, can indicate issues with your vehicle's braking and traction control systems. In your case, the fault codes 5603 and 5410 are being reported. To address these issues, you should follow these general steps:

1. **Read and Document the Fault Codes:** Start by using a professional OBD-II scanner or a Mercedes-Benz-specific diagnostic tool to read and document the fault codes (in this case, codes 5603 and 5410). These codes provide essential information about the specific problems detected in the ABS and TCS systems.

2. **Inspect Wiring and Connectors:** Visually inspect the wiring harnesses and connectors related to the ABS and TCS systems. Look for any damaged or loose wires and connectors. Make sure all connections are secure.

3. **Check Wheel Speed Sensors:** The ABS and TCS systems rely on wheel speed sensors to operate correctly. Inspect each wheel speed sensor for damage and ensure that they are properly connected. These sensors are often located near the wheels and are prone to debris buildup or damage.

4. **Inspect Brake Fluid Level and Condition:** Low or contaminated brake fluid can affect the proper functioning of the ABS system. Check the brake fluid level and the condition of the brake fluid. If it's low or contaminated, it may need to be replaced and the system bled.

5. **Check ABS/TCS Module:** The ABS and TCS control module may be malfunctioning. This module is responsible for processing sensor data and controlling the ABS and TCS systems. A qualified technician can perform further diagnostic tests on the module to determine if it needs repair or replacement.

6. **Test ABS Sensors:** Test the wheel speed sensors for proper operation using a multimeter or a diagnostic tool that can perform sensor tests. Verify that they generate the expected signals as the wheels rotate.

7. **Inspect Brake Components:** Ensure that the brake components (e.g., brake pads, rotors) are in good condition and not excessively worn. Worn brake components can trigger ABS and TCS warnings.

8. **Clear Fault Codes:** After addressing any identified issues, clear the fault codes using the diagnostic tool. This will reset the ABS and TCS warning lights.

9. **Road Test:** Take the vehicle for a test drive to ensure that the ABS and TCS systems are functioning correctly. Pay attention to how the brakes and traction control respond during the test drive.

10. **Professional Assistance:** If you are unable to diagnose or resolve the issue on your own, or if the problem persists after inspection and basic maintenance, it's advisable to seek assistance from a qualified Mercedes-Benz technician or mechanic. They have the specialized knowledge and equipment needed for in-depth diagnostics and repairs.

Remember that safety is paramount when dealing with braking and traction control systems. If you're unsure about any aspect of the diagnosis or repair, it's best to consult with a professional to ensure the proper functioning of these critical systems in your Mercedes-Benz C 63 AMG Sedan.