Hari Dhaama is a dhaama of goloka, mathura, dwarika, navadvipa, and ayodhya, and vaikuntha. the dhamas are collectively named hari dhaama since krishna is the original hari from everyone else such as rama, chaitanya mahaprabhu incarnate.
The reason (in your explanation), goloka (krishna), hari (in this case vishnu) and ayodhya (rama) are seperarted is because these are the 3 main dhamas among haari dhama. In goloka, krishna eternally resides, in vaikuntha (in you caase hari dhama)-4 armed form of lord vishnu resides, and in ayodhya-lord rama eternally resides. Dvarika, navadvipa, and mathura are not mentioned is because 1) the lord himself does not incarnate to rid the earth of evil and 2) these are not krishna's homes, but the places he lived after he left his home. None the less, all dhamas are very important and contain a form of the supreme.