This sounded very heady to me, with really no mixed voice at all.
Pushing too much air is like benching 300lbs once. your are sending the correct air to actuate your muscles, but you aren't training your muscles to get any better at singing high notes. So before you go pushing yourself, take the resonance advice, and work note by note by note, till you get good at that.
and your mixed voices comes primarily from your diaphragm, And putting mix technique into head voice takes tons of practice, something that opera singers spend years on learning.