In order for the brakes to work correctly (all around function), you need to have the bar that separates the shoes at the top installed, the adjuster cable must be installed on the top peg and run along the guide that is held on one shoe with a spring. The cable end clips in the adjuster ratchet and a spring goes from the adjuster ratchet to the opposite shoe.
The star wheel adjuster should be easy to rotate. If it is not, remove it, dissasemble it and clean & lube it with anti-seize.
The longer shoe should go to the back, the shorter to the front on both wheels.
After you have installed all the brake components, the star should "ratchet" as you turn in the direction that will result in the shoes moving further apart. Install the drum, and wheel, and remove the plug at the backing plate. Adjust the shoes so they just drag as you rotate the tire by hand, then back it off a couple of clicks.
You do not need the cable or the ratchet, but you still need to tie the shoes together at the bottom with that spring.
It is no safety hazard not running a self adjuster, you just need to adjust the shoes yourself the way I indicated above. If the vehicle is not on stands, adjust until you feel resistance, then back off a couple clicks.