Wait....which jacket are you making?
If it's the black leather jacket, then yes, pleather/leather would be your best bet.
If it's the straitjacket however, I would advise something else. I used twill for mine, and I think it came out pretty good. (Normal straitjackets are canvas, but I would advise against wearing canvas.)
For patterns, I used this one:
I modified the sleeves, and I made the sides so that there wasn't a contrast. I also had to enlarge the pattern a little bit.
I used black double fold and white single fold for the stripes. I also used a 65" or so zipper for the front, but yours may be longer 'cause I'm pretty short. I also used silver 1" swivel hooks for the hooks at the end of his straps.