From your images, it seems to be "Soil Algae" that is also known as "Cynobacteria". I am not sure, but you may have a type that called "Oscillatoria chlorina".
I cannot clearly identify colony morphology and reproductive structures in your images. To observe clear reproductive structures, obtain the sticky tape samples from the edge of the fresh colony (use Lactophenol cotton blue for staining). For better observance, inoculate the middle of the culture plate and take a single large colony. Then use standard key of book for identify the fungi morphologically.
Based on the colony morphology, the plate has two or more fungi.
1. Scrap all the fungi grown on the medium and do the serial dilution again on the primary medium with an antibiotic (to kill bacteria) until you get a single colony.
2. Identify the fungus up to species level by ITS sequencing and phylogenetic analysis.