@GraftonGuns, this is the popup forum, and those are the lift cables for the roof.
@MaccaMagic, to take care of the eyebolts opening, you can have them welded closed, however the reason for them opening in the first place would usually be too much strain on the cables. Does the roof open easily? If not make sure that all of the pulleys are turning well, and any friction points are lubricated. If you have added accessories to the roof, (AC, roof racks) you may be overloading the lift mechanism.
Note that the eyebolts opening may be the lesser of two evils however. Welding them closed will increase the chance that the cable will snap if overloaded. Replacing the eyebolt would be a lot easier.
As to the cutting of the lift conduit, the only thing I could suggest is relocating the pulley closer to the lift spring, or even to the other side of the lift spring. You might need to lengthen the lift cable to do this though; hopefully there is enough slack in the eyebolt thread or you could replace with an eyebolt with more thread to get the length you need.
ETA: looking at the picture again, and working a bit from memory, I think that the pulley in corner 3 actually has 2 wires running through it, including the corner 4 pulley, so relocating may not be practical. Can't actually see the pulley in your photo, but based on the cable angles, it looks like they pivot at the same point.
I would suggest trying to fortify the area where the abrasion is occurring. Perhaps wrap some strap stock around it and tack or bolt in place. My concern would be that eventually it could cut far enough back that the lift spring end might come free. That cable is directly attached to the far end of the spring; as the cable pulls out, the spring also pulls out forcing up the roof post. If that far end pulls free from the guide channel, the corner would likely let go completely.
I'm trying to suggest simple fixes as this is an older trailer. If you think it is worth the investment, you could also buy a new lift mechanism for the corner and replace with new.
2011 Jayco X19H (purchased 2015)
2008 Jayco 1007 PUP (purchased new, traded for the X19)
2018 Nissan Titan Midnight Ed.