Develop Javascript 3D Drawing Project Using Three.js or Similar

Using [login to view URL] (or something similar) I would like to be able to drag shapes (eg; cube, sphere, pyramid, etc) from a menu on the left and drop them into a [login to view URL] view/scene in a web browser. I should be able to add shapes to the menu, and attach default sizes to each shape (eg; width, height, depth, radius, etc) so that when they are dragged in, they have the default sizes. They can then be dragged and resized in the view/scene using the mouse or typing in the size boxes (length, width, height). I also need to be able to draw custom polygons (shapes) using mouse-clicks and then extrude the shape from 2D into 3D (eg; draw a custom box and extrude it into a cube). I should also be able to; 1. upload an image to the background 2. apply textures to the drawn shapes 3. attach attributes or additional settings (eg; a custom name, a price) to each shape/object drawn. [login to view URL] is already able to do all of the above, but I just need it tied all together into a single page. See attached sample drawing to give idea of what I'm looking for and visit the [login to view URL] website to view some samples.