Hi All!
Nice AAR so far. I just want to write some things about the Hunyadis and the "Magyars".
The "Magyar" is equal to the "Hungarian". It is the same, just another language. Magyarország = "MagyarCountry" = Hungary. Current government is Republic, so its full name today is "Hungarian Republic" = "Magyar Köztársaság". In the middle age it was a kingdom, so its full name was "Hungarian Kingdom" = "Magyar Királyság".
Mathias Rex (Corvin Mathias, Mátyás király, Mátyás Hunyadi, Mátyás az Igazságos = Mathias the Just, etc.) was Hungarian. His father and mother are also Hungarians. His mother is Erzsébet Szilágyi, Hungarian; his father, János Hunyadi (a törökverő=the Turkish-beater) has Hungarian mother (Erzsébet Morsinai) and a father of unknown origin (named Vajk, a nobleman from Wallachia, probably Kun or Turkish origin). At these times Wallachian nobles was mostly not Romanians, but Kuns, Turkish, and so on. The name "Vajk" also isn't Romanian and because of János's crow-black hair and his father's name, probably his father was a Kun. There is some stories from these times indicate that the father of János was King Zsigmond himself, but this is probably false.
Mátyás was the best king of Hungary, in his time of reign the golden age of Hungary happened. János and Mátyás always had Hungarian identity and culture (although Mátyás liked the Italian culture also, one of his wife, Beatrix/Beatrice was Italian), and in these times Hungary was one of the richest and strongest country all over the world. At this time Wallachia and Moldova were principalities, and vassals of either Hungary or the Ottomans (overlords changed pretty often).
So in the perspective of strict ethnicity János was 1/2 Hungarian, Mátyás (and his brother, László) were 3/4 Hungarians. But from the view of identity they were 100% Hungarians.