>>1
I'll make up out of my own head what I think -
glory has to do with the Jewish god's encompassment, exaltation is the state of being exalted (or being exceptionally elevated in esteem), and admiration is the state associated with the act of admiring (giving free and heartfelt repect)
connotations are communicated by common usages, and glory is reserved for the godlike, exaltation for the grand, and admiration for the good.