The refrigerator is unlikely to be the cause. What you describe points more to camera/handling issues, especially light leaks or a camera that needs service.

From the examples described:

• The orange/colored streaking is consistent with light fogging.
• White fog along one edge/bottom can also be a light leak, possibly while advancing film if the shutter isn’t fully closed.
• Very dark frames could be exposure/metering problems or user error.

If the frame counter returned to “S” and the advance stopped unexpectedly, the film may not have been loaded or transported correctly for part of the roll, which can also explain missing frames.

How to prevent it:

• Have the OM-10 checked/serviced, especially for shutter and light-seal issues.
• Make sure film is loaded correctly and fully advances before shooting.
• Wind on enough at the start so the first exposed frame isn’t partially fogged.
• Keep unprocessed film away from strong X-ray/airport scanners when possible and request hand inspection.

So: cooling/refrigerating the exposed film probably wasn’t the main issue; the camera likely needs attention.