Some of those parts won't interchange. Notice how the v-brakes are mounted on the newer frame. Unless the older frame has bosses welded on for brake mounting you won't be able to use v-brakes, and unless it has a brake mounting bracket on the upper chain stays, you can't mount side-pulls either. There's definitely a difference between single speed and multi-speed frames where brakes are concerned. Also, I'm trying to picture what type of brakes are mounted on that newer springer fork (I'm guessing none?). Most springer forks do have a hole in them for mounting side-pull brakes but not V's. I used to convert vintage single-speed Schwinn cruisers to five speeds using Schwinn parts (mostly from stripped ladies Collegiates). The only practical way to get rear brakes with multi speeds on a single speed frame was to use a rear drum brake (such as on Spitfires and Krates). These are rare and expensive. You may also have to spread the chainstays apart to accept a multi-speed rear hub.