Hey Ulrik! I also think it is a good attempt at this lesson
what I would suggest at first is to revise the position of your larynx when singing. At this point your larynx is lowered, which is not too good.
Try to smile when singing, even exaggerate the stance and breathe short before each phrase, without having the breath heard. It's the same sensation that you have when someone enters the room and you are surprised
This technique will raise your larynx and the smile will keep it like that - it takes a bit of practice, but it will work. If you need more input on this, write me a PM and we can discuss about it
Cosmin