Does security certification satisfy the ia bbp for I am level ii and I am level iii?

No. According the the DODD 8570, the following certs apply for IAM:
IAM Level I - CAP, GISF,GSCL, Security+
IAM Level II - CAP,GSLC, CISM, CISSP (or Associate)
IAM Level III - GSLC, CISM,CISSP (or Associate)

The link below will take you to a copy of the Directive.