Jane only wore it, really, for one scene and it was on his ballistic vest which he took off rather quickly. The skeleton in this film is more subtle, sort of like the bat symbol on the new Batsuit.
I'm not sure if Howard Saint is a comic villain or not, I don't follow Punisher that closely, but at least Jigsaw is a villain I recognize so that's a step in the right direction.
The red band trailer for this is insane. Very brutal, nearly horror film excessive, actually. Be interesting to see what cut of the film makes it to the screen.