I agree with Mandolyn that it sounds like ricing.
I see that you have PKO in your recipe. That could be the culprit, depending. To explain, I found that whenever I used PKO in my recipe and my oils/fats are not warm enough before I added the lye to them, my batch always riced on me soon after adding the lye. It started to look like the consistency of lumpy applesauce instead of being nice and smooth. When I use PKO now, I always make sure my oils/fats are about 110-115 degrees F before I add my warm (100 degrees or so)) lye mixture. Since I've been doing that, the ricing has completely stopped. Yay!
If indeed the PKO is the cause, then the white lumps are more than likely re-solidified stearic acid from the PKO (or from any other high stearic oil/fat one might use, for that matter).
I could be wrong, but I don't think it's the sugar. I use sugar in just about all my batches, and so far, I've never had any ricing problems or overhearting problems. Honey, on the other hand, will overheat for me every time if I add too much or if I'm not careful, but regular table-sugar never has never given me a problem (I use 1 tbsp. sugar ppo).
Did you possibly add any fragrance to your oils
before adding the lye? I ask because I've read of some soapers that do this quite often, while others wait until trace or after the lye is added. In any case, certain troublesome fragrances are prone to ricing no matter when one adds them, and if you had already added your fragrance to your oils, it could very well be the fragrance oil. You can tell if the spots are fragrance by sniffing. The spots or lumps will smell stronger than the rest of the soap.
Once your soap has cured for about a week, go ahead and test the white lumps to make sure they are not undissolved lye (yet another possibility :shock: ). The way I test my soap when it has white lumps in it is to gently stick the very tip of my tongue to one of the lumps and see if it zaps or stings (it's like sticking your tongue to a 9 volt battery terminal and having your tongue go ZING!). If you feel that, then it means your lumps are most likely undissolved lye, and if it were me at that point, I'd throw the batch out. If it
doesn't zap, however, it's more than likely re-solidified stearic or fragrance and can be either left alone as-is to bathe with, or else rebatched. HTH!
IrishLass