yes it is possible
a broken dip stick wont cause hard shifting... the engine does not do the any shifting... your problem would be the transmission... check transmission....
It would if the battery voltage was lowered enough to cause it not to fire.
Not likely. It would mainly cause a poor running engine.
If you mean low oil or fluid in the transmission, then YES, it will lead to shifting problems. Low engine oil will not affect shifting.
Yes it can cause erratic shifting. But not an engine miss fire. You need to find out why the engine is missing and running bad and when you fix that problem then I'm sure the transmission will start working and shifting correctly.
It definitely is a possible cause of it jerking, if it's not an engine mount, service the transmission
Stuck hydraulic lifter.
check for a failed vacuum modulator or a vacuum leak to the vacuum modulator. It sounds like you are shifting on the governor or engine management unit.
check the exhaust system
A transmission that is sticking would cause a 1997 Plymouth Grand Voyager to die after shifting it into gear. A problem with the ignition system could also cause this.
Maybe. If the trans is messed up enough it can drag the engine down. But this is very rare to the point where I would bet it isn't your problem
Check the temperature sensor.