Gorgeous! Perfect! Love the colours, they are bright but they have a mediaeval feel still. The hawk somehow looks friendly though, which is nice but usually I find gyrs look a bit scatty and frightened and insane, with their big liquid eyes...however it is not so unnatural an expression as to look out of context.
The ranking system is often cited and is a popular topic of conversation between falconers and the general public or people learning falconry. It can be traced back to the Boke of St Albans, which you must have cited. There are some doubts about its accuracy though and it may have been completely symbolic - some of the rankings make no sense (a vulture for an emperor? Vultures are rubbish falconry birds) and some were unobtainable; others were the same hawk (out of memory I think he mentions the loch falcon, the rock falcon and the peregrine or something like that...they are all the same hawk). I read a pretty good argument for it not being the case but can't remember where I read it. Might have been in Philip Glasier's book. Hope you got good marks, if your writing is as good as your painting skills you certainly deserve them!