If a vehicle gets -1 MP from a motive hit, does that reduce jump MP?
No
If a vehicle is "immobilized" from motive hits and has it's MP reduced to 0, does that affect jump MP
It can still jump the full value of jump MP
If the engine is destroyed via internal crit (instead of external motive damage) are the VJJ's disabled? The Kanga hovercraft canonical unit has an ICE with VJJ's, so that seems to imply that VJJ's do not require a fusion engine and would not be directly affected by engine damage...?
Jumping requires a functioning engine. it need not be fusion.
If jump MP is NOT affected by motive hit reductions, if the vehicle is immobilized but CAN still jump, does it still receive the -4 "immobile" penalty from units firing at it?
There is an important distinction here: a vehicle reduced to 0/0 via motive hits is not considered immobile. Even without jumping, its TMM is +0. If a vehicle takes an
engine hit via the vehicle critical hits table, it
is considered immobile, receives the -4 TMM, and can no longer jump.
We are talking about adding additional text to future printings of TO:AUE but are still working on the exact wording.