Sorry, gentlemen, late reply
, and couldn't expand in first post - night shifts and all that...
The hat has been explained, thank you, Akaryu - indeed, sombrero should sit a bit more forward, but like I say its just a position adjustment. Hopefully you will get a new one soon,
Trefoil piping ( or whatever it is called ) - the cords are supposed to go over each other and form a cross grid. I enclose an officer's sleeve which may not be as complex but utilizes same principle. I am not sure what happened with the cast- but there are plenty of broken lines and rogue threads. Understandably, the pattern is extremely complex and getting it over folds is a nightmare, Moz did a good job there.
I thought if you are committed to reworking the small detail, Nap, you may wish to set this right. Again, fairly easy, just needs more putty and cutting/ trimming.