You might wanna put your whole parallax system inside a canvasLayer node, so that it's not affected by the camera.. at least as a test.
Without more information it's hard to know what the issue might be. If you run the game, you can click the "remote" button where the scene tree panel is and it will allow you to play with the runtime tree as it is in the game right now, and you can select each node and see if maybe the position is way off... Or maybe visibility is turned off... Or some other setting.