Hey you did good.
When I first put bands on my birds, my hands were shaking enough that it was hard to put the band on. Same thing when I had to cut their nails/claws...I think I was more nervous than the birds.
Do NOT use perch covers.
I did when I started and did not know better. I later learned it is not a good idea. The problem is the bottom of the foot where they land and place their weight will become abraded and might start bleeding. Kind of like you standing bare feed on gravel. The benefit of wearing the claws is offset by the possible injury to the bottom of the foot, leading to bleeding.
BTW, I have this exact problem. But the cause was not perch covers, but the dried HARD poop on the perches that became just like rough sandpaper or a perch cover. I discovered it when I saw blood on all the perches.

He is OK now, but his feet has to heal and now he needs to be treated w antibiotics, just in case bacteria from the poop got into him.
A fray does not sound good. A fray is a thread, or more than one thread. Where is the fray? The danger is if the thread closes on the leg or toe and strangles the toe, like a torniquet. I would remove the fray also.
Providing a bath is normally good.
BUT in this case, if the ribbon is wet, it will be HARDER for you to remove it. Leave the bath until after you get ALL the ribbon off.