I agree with those saying to replace other components too if you can. Your weak spots may start to show. After replacing my radiator after if popped, the water pump blew out a few days later. Along with what you have got already, I'd add the water pump, the tube that comes off the water pump, heater hoses and radiator cap. Dorman brand makes a tube for the water pump.
I'd also recommend reusing the factory constant tension hose clamps, if you have them. I had the old style worm clamps for a couple years and every time the seasons changed from warm to colder, I'd have small leaks at the hoses. This past November I rebuilt my entire cooling system and went back to the constant tension clamps.