If your not one that works on your own vehicles,then ask a repair shop to
inspect the vehicles braking system
My experience & personal opinion on all braking issues,is simply from neglect
eg: failure to ever inspect & work on your brakes.
Some of the shaking could also be from worn suspension parts.
Your driving a very old vehicle,may be time for something newer
verse invest into that one,unless you do all your own work let it go.
The pop was possibly the left rubber brake flex hose that blow out.
At the moment you then only had the right brake working & then no
brakes as the fluid would leak out.