No, it will have no effect on the flywheel.
If it vibrates briefly only while shifting, it's probably the transmission slipping. If all other gears are shifting ok, you're about to loose the transmission.
If the starter is not properly mounted then it will not properly engage and release the flywheel. The started may need to be shimmed in or out.
No, bad front wheel bearings would not prevent a transmission from shifting. If your car has bad front wheel bearings you will notice wheel noise or wheel looseness.
If it is a standard shift and not an automatic, yes as long as you put it in neutral. If it is an automatic you can disconnect the drive shaft. Otherwise you cannot tow it or you will damage the transmission as it will overheat.
It can do that and a lot more damage, if completely broken it can break your radiator,dent your hood, rip harnesses and more so you should definetly replace them.
Could be the 4x4 Control Module.
The 2001 Toyota Camry has a 4-speed automatic.
It's safety feature to prevent damage to the gearbox, in any situation before you change from 2 to 4 wheel drive the car should be at a standstill
1989, Ferrari.
it will affect (weaken) your transmission if you have an automatic tranny! but a manual tranny can handle it!
If the wheel is bent; bearing , tie rod end, or steering rack damage can be the result. If it's a rear wheel trailing arm and stub axle damage are high on the list.
Keep your foot on the brake pedal when shifting out of park, as there is a switch there to prevent the accidental engagement of the transmission. Sometimes the switch sticks so you have to pump the brake pedal a few times, but always keep the pedal down when shifting out of park. If this does not help then the switch is probably bad.