The vacuum system on a vehicle serves many purposes. A cracked air hose could most definitely cause an engine sputter.
If it is blue smoke the rings or valve seals could be bad. If it is white smoke the head could have a bad gasket or have a crack. If it is black smoke the engine is running too rich.
depending on where it is, yes.
If the thermostat was not installed correctly, the housing can crack but it would leak engine coolant not oil.
Are you talking about a crack in the engine block? Sorry, it's not repairable.
Theoretically, anything can be repaired. I doubt the cost would be worth it, depending on where the crack is. I would look into a jasper remanufactured engine.
yes
Yes
Yes.If you have no antifreeze in the radiator or engine,sometimes it will freeze.Usually a freeze plug in the engine will pop out before any major damage is done. Sometimes the block will crack,or the radiator will crack or burst if no anti freeze is in the system.
There is likely a crack in the engine block.
Engine blocks can crack from many different reasons. Improper antifreeze ratio during freezing temperatures, internal engine component malfunctions (such as throwing a rod), etc.
If it overheated and wont start that can be some bad news. An engine can only take so much heat and when it gets to hot it'll crack and leak out oil and without oil theirs no lubrication in and the engine will seize. Which basically means you need a new engine...
If ice forms anywhere in the engine, it can crack the block.