If the thermostat was not installed correctly, the housing can crack but it would leak engine coolant not oil.
A crack near or on the thermostat housing can cause a coolant leak in a 1996 Grand Marquis. The thermostat housing is located near the manifold on this vehicle.
Any coolant leak can cause an overheat.Any coolant leak can cause an overheat.
water pump or thermostat housing crack
The plastic intake manifold on these cars often cracks near the thermostat housing as well. Also check the front of the intake manifold just behind the alternator for leaks. See more info here... http://www.autoclinix.com/Manifold.htm If the thermostat is stuck closed, it is possible that the water would back up and leak through the thermostat gasket. however, it would also make your engine overheat. If your engine is not overheating, then the leak is probably coming through a crack in the hose where it clamps to the thermostat housing.
A faulty thermostat in a 2001 BMW 325CI can cause a coolant leak. The coolant may be leaking out a crack in the thermostat or through a warped edge. In some cases the problem may be just a bad gasket and not actually a problem with the thermostat at all.
If not tight enough to seal it will leak.
The radiator hose is cracked near the clamp; or the clamp is loose; or the thermostat housing gasket is worn.
There's a gasket between the thermostat and the block that you need to replace.
If you have coolant on the top of the engine it could be a leaky thermostat housing or a leaking intake gasket.
not normally, unless it was somehow getting the coil packs/distributer (don't know your year) wet and shorting them out.
if the leak is at the thermostat housing, make sure you installed the gasket and that is torque down to specs.(you may try some silicone,not too much)
Try to determine the origination of leak i.e. radiator, hose, thermostat housing etc. Try to determine the origination of leak i.e. radiator, hose, thermostat housing etc.