How to keep ARKit SCNNode in place
There are two kinds of "moving around" that could be happening here.
One is that ARKit is continuously refining its estimate of how the device's position in the real world maps to the abstract coordinate space you're placing virtual content in. For example, suppose you put a virtual object at (0, 0, -0.5), and then move your device to the left by exactly 10 cm. The virtual object will appear to be anchored in physical space only if ARKit tracks the move precisely. But visual-inertial odometry isn't an exact science, so it's possible that ARKit thinks you moved to the left by 10.5 cm — in that case, your virtual object will appear to "slip" to the right by 5 mm, even though its position in the ARKit/SceneKit coordinate space remains constant.
You can't really do much about this, other than hope Apple makes devices with better sensors, better cameras, or better CPUs/GPUs and improves the science of world tracking. (In the fullness of time, that's probably a safe bet, though that probably doesn't help with your current project.)
Since you're also dealing with plane detection, there's another wrinkle. ARKit is continuously refining its estimates of where a detected plane is. So, even though the real-world position of the plane isn't changing, its position in ARKit/SceneKit coordinate space is.
This kind of movement is generally a good thing — if you want your virtual object to appear anchored to the real-world surface, you want to be sure of where that surface is. You'll see some movement as plane detection gets more sure of the surface's position, but after a short time, you should see less "slip" as you move the camera around for plan-anchored virtual objects than those that are just floating in world space.
In your code, though, you're not taking advantage of plane detection to make your custom content (from "PlayerModel.scn") stick to the plane anchor:
wrapperNode.position = SCNVector3.positionFromTransform(anchor.transform)
wrapperNode.addChildNode(Body)
scnView.scene.rootNode.addChildNode(wrapperNode)
This code uses the initial position of the plane anchor to position wrapperNode in world space (because you're making it a child of the root node). If you instead make wrapperNode a child of the plane anchor's node (the one you received in renderer(_:didAdd:for:)), it'll stay attached to the plane as ARKit refines its estimate of the plane's position. You'll get a little bit more movement initially, but as plane detection "settles", your virtual object will "slip" less.
(When you make the node a child of the plane, you don't need to set its position — a position of zero means it's right where the plane is. Inf anything, you need to set its position only relative to the plane — i.e. how far above/below/along it.)