In order to complete the Telescope Puzzle you need to have gotten the Barlow Lens from Jeremy’s Steamer Trunk, which is done after you return from the Graveyard.
Insert the lens and on playstation, use the right stick to put the stars in focus. For me it was a bit of trial and error, but this was the final picture. Once the larger star on the right starts to glow, that’s how you know you’re right.
Once you complete the telescope, then you can complete the wall puzzle. The final picture has the Taurus Constellation in it surrounded by circles, so place the center piece first with the star burst in it and then it’s easy to connect the lines and the scratched up pieces.