Can you target ice with queen's gambit and dose singularity trash just assets upgrade and agendas or everything in that remote including ice

You can't target ice. You can only target cards in a remote server. Ice is not "in" a server. Only Agendas, assets and upgrades can be placed in a remote server. (exception Awakening center. The ice on awakening center can both be trashed by singularity and tokened by Queen's Gambit)