a bad torque converter can sometimes make the vehicle die while stopped.[there are ohter less expensive reasons ]
Yes
DEAD ALTERNATOR
Timing belt.
Make of car?
maybe my radiator is defective
You better call someone
Without some very unusual circumstances, it's going to be the car that read-ended the stopped car. There are very few good reasons for running in to the back of a stopped car.
maybe it is a problem with you 1st gear being warped because when ur stopped u are in 1st gear but park is a different gear
your cooling fans are not kicking in. They make have clutches that have gone bad. they need to be replaced. Also check the themostat
it could be the breaks, or the shock could be hitting against the wheel
if you car shakes when its fully stopped it may be the harmonic balancer, take it to a garage. is it shakes only when you are braking while stopping than have you brakes checked
converter stopped up