2 Pack Head Gasket Tester Airlock Replacement Twin Bubble Airlocks for Head Gasket Combustion Leak Test Detector Fluid Automotive Engine Block Leakage Detection

Not really, those additional symptoms you describe are not necessary, though they are possible. If the coolant system gets over pressurized, the pressure will simply bleed out to the overflow reservoir, which is never pressurized. What kind of bubbling do you see? The block test kits are relatively cheap, I recommend it, just for peace of mind even.