Dont be misguided that every colony that produces EPS is Azotobacter, many soil bacteria especially Stenotrophomonas produce EPS and mimics Azotobacter colonies. So the ultimate test is sequence based identification
Azotobacter Agar (Mannitol) is recommended for isolation, cultivation and identification of mannitol positive Azotobacter species from soil as it is free from Nitrogen containing compounds whereas the Pikovskayas medium contain Yeast extract which is nitrogen source. Moreover PikovskayasAgar is recommended for detection of phosphate-solubilizing soil microorganisms.
Article Production of polyhydroxybutyrate and alginate from glycerol...
yes it does but this is not the appropriate medium for P solubilization. Consult: Bashan, Y., Kamnev, A.A., and de-Bashan, L.E. 2013. Tricalcium phosphate is inappropriate as a universal selection factor for isolating and testing phosphate-solubilizing bacteria that enhance plant growth: a proposal for an alternative procedure. Biology and Fertility of Soils 49: 465-479