2003 pt cruiser over heating

Besides air in the system, you might want to test, inspect or replace the thermostat, it might be stuck in the closed position.

Boiling doesn't sound good . Did you do the work or was it a " mechanic " ? With over heating you go with the simplest . Coolant condition and level , new thermostat . I've seen the engine bay of a pt cruiser and I wouldn't change a water pump unless I either did a compression test and/or checked for flow rate . I would assume if you have good heat then the water pump is good . And if the coolant isn't corroded then the radiator is probably O.K. At any rate a good mechanic shouldn't replace parts without some kind of test because now after that you still have the problem , boiling sounds like a blown head gasket and that cruiser is junk at that age , especially if it boils soon after starting before it has a chance to get hot ., I think .

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Do a flush on system , may be the heater coil is plugged, also the coolent is breaking down ,next would be the thermostat, hope this helps