You have three species that possibly come from three different habitats, I'm not sure about the so called 'spotted' ones, there 60 or more species you could call spotted coming from all over the SA continent. It is always advisable to attempt breeding with a single species set up, that way you can monitor the results of your actions. To attempt a mass spawning of several species is not a good idea because whats good for one species is not necessaraly good for another
Cool or even really cold water changes are the clasic way of triggering Corydoras into spawning mode, but the timing needs to be right. I would not think that the influx of cold water would have caused the demise of your two C. arcuatus, but it depends on how you did the change.
Assuming the fish look like they are in breeding condition and again depending on the species, my recomendation would have been to reduce the water level by 40 - 50% and then re-fill with water that is 8-10 degrees cooler, leaving the heater in place. This would then alow the water temperature to return to what it was fairly quickly.
Below is a link to the spawning Log on C. arcuatus, this gives all the details from when I first bred them.
http://corydoras.pwp.blueyonder.co.uk/s ... 013%20.htm
Hope this helps.
Ian