Marilyn, you should look at re stringing, especially for pearls and
beads that are worn a lot, as “maintenance”. I recommend that my
customers have their strings checked every couple years, same as the
prongs on set stones.
As for how to handle the jump ring, you could use the coiled wire, I
think they call it French Wire on the ends. If it is properly used,
it will add some life to the string. I don’t like it much though,
it tends to fray. You might also make sure the solder joint on the
jump ring is smooth and not abrading the cord.
I am curious though about where the “Knot” is. To get the best
security and appearance on the end of a string of pearls (or other
beads), you do not knot the last three beads until after looping the
jump ring. IE, you add a bead, knot, add a bead, knot, then at the
end, add the last three beads, go around the jump ring, back through
the last bead, knot through the next to last, knot, then through the
third to last and knot. This takes a little practice and planning to
leave the correct amount of space for the last knots but know if you
lose the cord at the jump ring, you don’t pour beads on the floor.