What engine do you have?
No, the added lights wouldn't cause it specifically but you may notice a cooling system fault sooner because of the added lights.
Make sure you have a thermostat in, a 192-195degF t-stat, running without a t-stat can cause symptom you describe, coolant is flowing too fast thru the rad to cool down, so temp starts to climb.
It could also be the current t-stat is not fully open, limiting flow.
Make sure A/C condenser(in front of the rad) is clear, no debris in the fins, and if it has an e-fan make sure it is working.
You can do a Flip test on the rad to see how plugged up it is.
Next time you have to drain coolant pull out the rad, 4 screws, all at the top.
Flush it out with water as best you can
Put rad cap on and put rad on it's side, so tubes are up and down
Put your hand over the lower rad hose outlet
Use upper rad hose outlet to fill rad with water
Once full, stop filling and remove hand from lower outlet
water should rush out very fast, tilt rad a bit to get all the water out
Now the test
Flip rad upside down
No water should come out
If any water comes out it could only come from blocked tubes that couldn't drain out
Water pump is also a good guess, impeller fins can start to corrode which limits the amount of coolant the pump can circulate, so lower flow.
Not sure if fan clutch could cause this symptom, usually fan clutch issue is when engine/coolant temp rises when stopped, like at a stop light, because fan is not fully engaged so is not pulling enough air thru rad, when moving again air flow thru rad is back and temp drops.