Rearange order of audio tracks in Premiere
As you have discovered Premiere Pro doesn't let you move the tracks as easily as that (I wish it did!)

Fastest method would be to create 1 or 2 empty tracks (right click on a track label and select Add Tracks) then use the Track Select Tool  ('A' on the Keyboard) to quickly select an entire track:



(Click and hold lets you select and move the track at the same time).

You could also select an entire track, Cut it, move your other tracks around, then Paste it back into a new track (you can choose which track it gets pasted into by clicking on the Track labels, Premiere will paste into the top most highlighted track)