Biohazard
Get the install kit and it includes the paper wrapped listing wires. The smaller of the two in your last photo.
The heavier ones with the tight loops are the bolster pieces and you got those nice and clean. Just hit them with some clear or RPM.
The tiny ones in the burlap can be replaced. Usually the front bucket bottoms are pretty bad, but the front backs and rear seat lower can be saved. Just soak them in evaporust for about 6 hours and rinse and wipe dry. Be careful and slow unbending the loops for re-weaving.
I searched a lot of stuff to replace the front lower pieces. Welding/tig rods etc!!!! I ended up using some rods I got at Hobby Lobby that are coated and used for flower arrangements. They are not quite as stiff as the originals but easy to work with and put a lot of extra support in the burlap.
I layed out lines on the burlap to make 1" squares to use as guide for re-weaving the rods back into the new burlap. I did not use the kit burlap either and got some heavier stuff from Hobby Lobby. To lock the front bottom rods I used some cording on either end. The original twisted paper was to hard to re-create (IMO).