Alastor's inner monologue is brilliant, so real and raw and entertaining. I love how he views the other characters, pasty-faced Snape, scruffy mongrel Sirius... And it gives you a sense of what nine months imprisonment would do to a man so paranoid and vigilant as Moody. He lost everything in these nine months, and we never see it dealt with in canon.
Also, Moody "missing half an arse" explains a lot about his attitude towards storing the wand in the back pocket!
Minerva is my favourite female HP character, and I love everything about your Minerva.