It was indicated that Harry was receiving training to make him ready to fight Moldyshorts. Obviously he also received Instruction in British Magical World histories and mores.
I did not really understand the "head of house’ powers" until Draco stepped in it on the train. (BIG GRIN) I like it. And your description of Snape squirming, oh yes!
Thank you for a wonderful read. I look forward to seeing where you go with this, specially what is going to happen to Umbit ..uh.. Umbridge and what happens when Dumbledore tries to find a loophole in the agreement they signed. I am also interested in seeing what other training Harry might have received.
May the MUSE always be with you!!!
~!^