My first guess was septoria, but it's hard (for me anyway) to tell the difference between spot, speck and septoria. Here is a link about them:
http://www.omafra.gov.on.ca/english/...cts/05-069.htm
I think you were on the right track with the bleach, but you have to get the strength of it right. If you only have a few plants to spray, it's easier to use hydrogen peroxide. The drugstore stuff is 3%. Dilute that 50/50 with water.