You should stop stressing yourself over how or why this injuries have occured, and start concentrating on helping these animals. I haven't read all your posts yet, but going straight from the OP, these poor snakes need lots of TLC. I have seen injuries on a carpet, like that before - almost identical in fact. I would recommend keeping him absolutely dry. No baths. Apply cream, silvazine, to the effected areas every day but that is all you can do. They may go through many shed processes, in attempt to heal themselves. Retained skin will no doubt stick to the wounds but not be tempted to pull it off. Leave it there. It will come off when its ready. Don't give him a large water bowl. Small one that he can drink from but can't climb into. Soaking burns is only asking for more trouble, as moisture gets trapped under their scales, causing more bacterial infections. Good luck with them, and keep us posted.
Don't bet on it. Do you think a 10W heatmat can do this much damage to an enclosure and not burn the animals? I was lucky that my animals didn't sustain burns but when heat sources are not used appropriately (and very few know any better, I learnt the hard way) a 10W heatmat will burn as good as 100W mat.
This is my olive girl Stella. She hurt her nose trying to escape her enclosure. I had a lock on her door but she spent ages trying to squeeze through a gap that she ended up ripping the scale off her nose on the edge of the glass door. I didn't do anything except keep an eye on it, dabbed some iodine on it. It healed well. Left a scar but it did not effect her at all. But the only way to prevent this happening again was to move her from an enclosure with sliding glass doors to a top opening enclosure.