Yes.
It is one of hundreds of things that could turn the check engine light on.
No, but it could cause the check engine light to illuminate.
no but in most late models your check engine light come on
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.
No, a loose gas cap can cause the check engine light to come on but not the low fuel light.
None, it might cause oil to spill on your engine or inside of your hood, or a dash light might come on.
It is possible. A more likely cause is the gas cap was replaced incorrectly or left off after getting gas
yes, and also, using the wrong gas cap could also cause the light to come on. It may even cause your engine to stall
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.
yes, if the Cadillac converter is not working properly it can cause you to loose power and may in the future cause you to loose your engine.
a loose or slipping belt
Have vehicle scanned to determine the problem