To answer your question - yes I think my fabric is the type that holds well. It's not really "sturdy", but it hardly gets any creases, and it drapes nicely.
Also keep in mind that for the collar part the fabric is folded in two.
As for the lining - I initially wanted to line it but gave up bc. I made a mistake and couldn't be bothered anymore at the time.
Anyway, the way I started it was by cutting a piece of lining following the back piece pattern, with shorter sleeves. In my enthusiasm I cut out the dart at the back, when I should have just made it into a tuck...
I don't really have experience with lining, so I would actually be interested to hear what others have to say!
Good luck with your jacket!
**Edited to add a big thank you to everyone for all the nice comments! (sorry for the delay.. )