right now, the best you can do is get a CO level test done on the cooler water.
This will provide indesputable truth whether there is a comprimise in the headgasket/cyl head. From there you will need to look at it objectivley.
A compression test on each cyl, will tell you if you have a failed gasket by the cylinder top, as it will not hold pressure.
You can allso try a coolant system pressure test, to see it there are any abnormalities there.
Be aware the best (worst) time to see these types of problems are when the car is cold > hot. When hot, its pretty impossible to see anything, as everything expands
From what i can see above,
Car steaming (majopr pressure build up) and no warm air (blockage before heater matrix = thermostat faliure? )
Please check the 2 hoses (into and out of) from the radiator are of equal´ish temp.
If not then it may be the thermo is stuck closed.
If the car was showing a major overheating then it may indicate a defective waterpump. But also a possible headgasket faliure.
Check water levels daily !
Check oil condition daily !
Get a CO level test / cyl comp test done.
Check temps of both hoses out of the rad.
Change as a precautionary measure, the thermostat
Get the car propperly bled.
also if you notice a thick sweet smelling WHITE exhaust smoke, that means your burning coolant.