Thanks for posting this. What I found interesting it that at school I learnt the case order as:
What order did other people learn? Is there an order considered standard?
I learned with the order I had them and that's also what I tend to see the most. But I have seen some with the accusative right after the nominative. I am not sure if there is a standard way or not, to be honest.
Hard to say what came first. German uses the same order for their four cases.
I didn't learn at school, but I had a "Teach Yourself" book at that time, and I remember that Vocative was second and I think Dative and Ablative were last. I'm pretty sure the order was the same as you have quoted.
The wrong stress of the tuae again, should be pronounced as tU-ay, not tu-Ae.
Wrong, I mean the stress accent, not how the ae is pronounced: the diphthong ae is one final syllable (not two) and the last syllable couldn't be stressed in Latin if a word had more than one syllable.
P.S. The stress accent is placed:
on the first syllable of one and two-syllable words;
on the second last syllable if it is long;
on the third last syllable if the second last one is short.