Depending on how far along the engine is before it totally seizes up. Coolant loss = engine overheating= internal components expanding beyond tolerances= seizing up= new motor.
cause yours is broken
It might be a broken motor mount or transmission mount.
lug nut were loose
bent wheels or a broken cord in a tire or a deformity in a tire.
the problem may be that the timing chain or belt has broken
The coolant temp sensor is probably doing its job. You may have other issues such as being low on coolant or a thermostat going bad.
could have a crack in it that is leaking under pressure
if its not turning on then its broken.
yes
the coolant temperature sensor is faulty. It will need to be replaced
make sure there's enough coolant in the radiator.
Yes, low coolant will cause it to overheat without the AC; that is not the only reason that will cause overheating however.