The first pic has me somewhat concerned. It appears that you have slime algae, or cyanobacteria. This alone will kill corals, and will quickly over take them. The algae will quickly consume the oxygen levels in the tank. It is a very aggressive bacteria. Have you checked your perameters lately? I would assume that you have a high nitrate level, and high dissolved organics. This should really be taken control of before it completely overtakes the tank. Water changes will help a lot. Not too much too soon, just multiple water changes within a weeks time period. Siphon out what you can (slime algae) during the changes.
As far as the frogspawn pic, that is normal growth.