Only if you run it out of oil. Otherwise no.
A loose engine mount would not normally cause the engine to fall out because each car has several motor mounts. A loose mount could cause the motor to be off of balance.
a loose or slipping belt
Not usually. If the rocker arms are loose because the cam lobes are worn down, that could be an indication of a worn engine, which might have bad rings or loose valve guides, which would cause an engine to smoke.
No, it would cause the engine to run poorly but not to seize. Lack of lubrication or overheating will cause that. Also a broken part, as in a rod, will cause it to seize.
Try to locate the temperature sending unit on the engine and make sure its not a loose wire to the sending unit,if the wire is in place then the sending unit is shot.
Assuming that the engine oil is at a constant pressure, look at the oil sending unit. A bad sending unit or loose wire connected to it can cause an erratic oil reading.
loose exhaust
Yes, a loose distributor can rotate so that the ignition timing for the engine is lost.
Probably either the sending unit or a loose connection.
A loose wire would cause the horn to stop working on your Dodge Avenger 2.4L engine.
It could be a loose radiator grill, license plate holder or similar. It could be a loose cap in the engine compartment or even a problem with the engine.
check for a loose or broken vacume line on the engine probably on the intake