No need to delete the post, This can be helpful to others as you were good enough to include the photos.
Yes, what you have is Cyanobacteria. Once it starts in your tank, it can be a bear to combat. Kent Marine makes a spot feeding baster that does a good job of sucking it off of the rocks. One trick Ive found most effective is to band an electric razor brush to a 24" section of 1/2" rigid tubing, and fit the rigid tubing onto a longer section of flex tubing (I use the hose from an old gravel vac). I then use that to brush off the rocks and siphon the Cyano into a filter sock in my sump.
Keeping the Cyanobacteria out of the tank is only half the battle. You will need to keep on top of your nutrient levels, increase your water changes and perhaps reduce your feedings. Keep on top of your Calcium and Alkalinity levels (and magnesium if you are seeing calcium precipitate). Coralline algae needs calcium to grow. By keeping your tank at levels optimal for coralline growth, you encourage the coralline to feed off of the nutrients that would otherwise feed the Cyanobacteria. You may also need to take a look at your flow within the tank, and perhaps relocate, reposition or add power heads to improve flow. Cyanobacteria growth can be not only indicative of excess nutrients in the water column, but also of poor water movement within the display.
As I said before, Cyanobacteria can be a pain to get rid of, but conscious, continued efforts to remove it, and eliminate the factors that contribute to it's growth, you can significantly reduce, and possibly eliminate it.
Hope that helped a bit.