Honestly, I've only made a platform set just a couple of times, good ice is rare around here! Well as I remember, I wired my trap to the platform, just a piece of tie wire, wrapped around just enough to hold the trap in place. Any critter would pull the trap free, after a catch. I've done the same, setting traps on logs, just enough to keep it from sliding off.
Let me ask, what is that green looking bait pole? In the first picture, pretty sure that's a white birch. But I'm not sure about the green pole and bait sticks? Looks almost like aspen? Whatever it is, it doesn't grow here.