Haha, yes, you pronounced z in the first one... I hadn't noticed!I apologize, I found one "medieval" defect in my classical pronunciation (I won't tell you which though ... I didn't even spotted it the first time), so here another recording.
And also the Italian way (or I hope so ).
It's normal, that's because people are generally used to hear "church Latin" - I was myself surprised about the pronunciation of -ae when I started Latin courses - and I thought just like you: "it sounds like Japanese!"The whole Kiai and kai endings just don't sound Latin lol.