First up
if you had a grounding problem with the headlamp i'd be checking the rest,
take out each light unit, clean up mounting holes and connectors, And the lamp at the rear as well
If your side/blinker has a crimped in bulb holder and there is obvious corrosion in the lamp housing on the inside and outside where the bulb holder metal case crimps into the lamp housing.
rub down the bulb holder stub sticking out the back, use a small hose clamp to clamp a length of wire, end stripped, to your newly cleaned up bit on the outer of the bulb holder. cover in grease/vasaline
run that wire to a mounting bolt for the lamp or a screw into the support behind it, use a crimp on ring connector if you have one and a spiky washer
if the bulb holder is screw/clip in clean up both holder and the lamp where it screws/clips in
you just made a new ground for the holder...
Try again.
Hazard set up can be done 2 ways
x two, 2 pin flasher units 1 used for turn signal and one used for hazard flashers
OR
a single 3 pin flasher unit
if you have 2 flasher units swap them over see if the fault follows the unit
if so you know what your problem is.
3 pin unit I think 1 is power and 2 are signal, i might be wrong. the connector will be a plastic modular connector that goes on 1 way, so unless you can pop the wires out to swap the signals left to right to do the same trick it might be easier to just get a new generic one. regardless having 2 wires swapped makes left right and right left.
i think anyway..mine doesn't have hazards so i'm working from generic other car ideas
The switch in the column is a Pain to deal with. Best bet is to pull down the multi plug disconnect and work out which pins from the switch give a beeb from your meter with the switch in the Right blinker position,, then swap to left if you can't find any that do the same for left.
its probably your switch at fault
but my bet is more grounding issues.
Dave