Hi,
your 6th barrel not moving is really weird...
also, to replicate Donkey King barrel, plain physics will not be enough, you will need to adjust the barrel speed and direction as it hits or leave a platform.
-- when it leaves a platform, give it a push down in force using acceleration or velocity ( not force) so that it goes down quicker.
-- when it touches the new platform, give it a push on the direction is should roll, so that it doesn't keep on rolling with its momentum in the wrong direction.
-- also play with mass and physics material to have it rebound slightly when it fall onto a new platform.
then, you'll be closed to the DK's barrel behavior.
Bye,
Jean