I wanted to thank everyone who responded to my original post of Oct 17th and offered their suggestions of whether I could refire after a kiln malfunction.
I had to replace all the elements in my kiln, the thermocouples and a relay -- major work! -- but it was necessary. And then with my fingers crossed I tried refiring all the pieces without doing any touch-ups on the glaze, as you suggested. I wanted to thank you all for your advice and encouragement! They all turned out as I expected they would.
Here's the piece I was most worried about. It was the largest platter I've thrown up to now (15" at the rim), and I wanted it to turn out well.
So my thanks to all who advised me. I'm so glad I came to you for help