The spots were most likely from a calcium deficiency, stemming from the peat moss acidity, yes. I have yet to amend my soil as much as I should, probably, but all I did was flush w/ pH'd water+H202, 2tsp. per liter recommended. H202 is acidic, though, so make sure to pH. Have you checked your pH? After that, the rapid spread stopped, but the few leaves already affected with the most spots didn't recover, so I snipped them.
The next day was another flush with H202 solution, then a day to let the soil dry out (I only flushed the day after because although the damage had stopped, still wasn't looking the best), the next day I supplemented for the deficiencies my plants had, since I would have flushed away a fair amount of nutes. When I fed them, I added the cal to the water and watered almost like a flushing again, just with less than I would have normally, especially since the plants were still recovering.
I would check for fungus gnats, as well. If you disturb your plant, look for them to come out of the top of the soil - that's where they like to hang out. For the larvae, put pieces of potato on the top of your soil, they're attracted to it and should come munching on it eventually, then dispose of them - this isn't a solid method for getting rid of them, just confirming that you indeed have an infestation.
There are a bunch of remedies for gnats - neem oil+soap+water, gnatrol, pyrethrin-containing products, etc., putting a layer of sand over the soil, etc.
If it's spreading that rapidly, though, it's probably not the gnats that are the
immediate issue. Do you have any pics? What's your soil composition? Nutes? How far along are you in the grow? It might be worth your while to transplant with some better soil, as MG seems to be screwing around these days, and amend with dolomite lime during the transplant, or do so now. You'd get better/more responses with a new thread, but I'm still curious.
Peace