http://wiki.answers.com/Q/If_you_have_no_oil_in_the_engine_would_that_cause_the_7th_cylinder_to_go_bad"
Engine missfire. Cylinder #4
There is likely a crack in the engine block.
engine coolant getting into an engine cylinder from a bad head gasket , cracked or warped head
Wiring and internal engine problems can cause misfires.
No. It either worked to start or it didn't.
Bad Plug or coil pack.
If you have a "check engine" light on, start with having the codes read. A misfire code can tell you which cylinder or cylinders are having problems. A misfire could be the cause of your engine vibration.
If the check engine light is flashing at 1 second intervals , an engine cylinder misfire has been detected
Engine coolant leaking into cylinder. Possible bad head gasket.
sounds like a cylinder misfire..check spark plugs and wires..usually a code will show which cylinder it is, should replace all though
sounds like your engine needs a valve job worn piston rings would also cause low compression ,but not cause the backfireing
Could be a bad head gasket. You would get engine oil leaking into the cylinder heads and that would show as smoke out the tail pipe.