...back from the stars...
Sue, as long as the rot does not progress to the stem, the plant will recover. The later pics look pretty good, so I think you have it under control. Be sure to watch closely. I'd pull off all of the leaves with rot and keep the plant dry, then look at least daily to see if more leaves are having problems. Be gentle with them and keep them on the dry side as they recover. You had some close calls there. I've lost a number of semps to rot very quickly, sometimes it seems almost overnight, to rot that I didn't catch right away.
Just last week I had a two headed Jovi heuffelii lose one of its rosettes to progressing rot. I had to dig it up to dry it out, then had to cut off the rotting rosette to save the other rosette. During hot spells in the weather, we should watch the plants closely. Once your collection is well established, however, you can relax a little bit as you can lose a few plants to rot and still maintain the variety.