Common issues with baseboard heaters include tripped breakers from overloaded circuits, flickering lights caused by loose wiring, and overheating due to dust buildup or thermostat malfunctions, which can trigger safety shut-offs. Unusual noises like humming or buzzing often point to loose connections. To troubleshoot, check that the thermostat is set correctly, inspect the circuit breaker for trips, verify power at the outlet, and examine the heater for visible damage or loose connections. Addressing these issues promptly can help restore proper function and ensure safety.