... If I read the Code book right...,a #12 awg.wire is to be protected at NO MORE than 20 amps...if this constitutes a problem,then it's time to divide the circuits up,if you can find splice points,..or junction boxes in the basement,or attic,...etc.Or else,run new circuits from the new panel.I would advise the H.O. that although a new service is beneficial,it's not an end-all cure.This work is going to be inspected,and as you already stated,the inspector wants you to assign the correct size OCPD for that circuit,based on it's conductor ampacity.If the inspector sees a 30 amp breaker in the panel,on a #12 wire,he's gonna fail you.
Good Luck,...Russ