Mitch - I would try hitting all 6 joints with some heat as a first measure.
The sharp edges of the toroid abrading the #28 AWG wire is a secondary concern IMHO, given that mix 43 ferrite has a fairly large DC resistance. If two turns are shorted together, then simply pushing the turns apart with a toothpick should clear up the short...
As for number of turns, with 10 turns thru each hole, you should be able to count 9 turns hugging the outside of the binocular core.
GL de va3rr
va3rr