In most cases, you can tell that your lifters are bad, in your car engine, by the ticking noise. A bad lifter will make a tapping sound.
a bad engine
Depends on how the lifter has failed. In most all cases you will have loss of power and there may or may not be a ticking or tapping noise. There will be a "misfire" in the cylinder that has the bad lifter, There is loss of fuel economy. The car will fail emissions testing.
a car lifter or a motor lifter
Bad engine cushions can make the engine shake. bad spark plugs cause malfunction as the car starts running.
It can cause massive Engine failure and blow up the whole car, so be careful.
Many things can cause a car to be sluggish like dirty air filter, check engine light came on, bad transmission, bad engine, etc.
Yes, bad spark pugs or plug wires can cause the engine cylinder to misfire which will cause the engine to vibrate.
Rocker arms dont break. Pushrods bend and lifters malfunction, but rocker arms rarely if ever go bad. A bad lifter will make an obnoxious taptaptap noise. A bent lifter will cause significant backfiring through the carb or fuel induction system.
No completely separate from engine/cooling system
Yes, a bad coil will prevent the ignition from firing and the engine will not start.
that means you need more oil. it could also be a sticky lifter or slightly bent push rod or even the tappets out of adjustment