Those do look more and more like some sort of abrasions, that have resulted in missing scales. I don't think they are bites from anything, nor parasites. Is your substrate very sharp-edged and abrasive? Sharp-edged rocks or driftwood in the tank? Do those drainpipe sections perhaps have some sharp edges either inside or at the openings?
Fire Eels are often referred to as "scaleless" but they are fully scaled with numerous small scales, as can easily be seen in your pics. A big fish squeezing into and around anything abrasive can easily sustain this kind of damage.