So you aren't pasting an image, you're copying and pasting geometry? That's an important difference.
Are you using Copy and Paste? If you want the copy of the geometry to be next to the original, use the copy function of the Move tool. and move the copy in the desired direction. Hit Ctrl on PC or Option on Mac to invoke the copy function.
Your second image doesn't show enough information to see what's really going on. Where do you want the 3D text to appear? I'm guess you aren't really using the standard top view but I can't be sure without seeing the SKP file.