There is a tiny square nut under the plastic where the battery cover screws in (2mm x 2mm roughly) to accept the screw, and is prone to falling out. If it has, there’s nothing for the screw to bite into, so it will spin but never catch. Hope this helps.
The 6 screws to open the case ARE NOT PHILLIPS! They are Tri-Wing, a Y shaped driver, not + shaped. If you use a phillips head screwdriver, you will strip them quickly, and then you actually will have to drill them out. Use the right tool every time!
I have a much deeper appreciation for the workers who assemble these phones. Makes working on a laptop seem like working on a diesel truck in comparison! I highly recommend a clean, well lit workspace and at least an hour just in case something's fidgety. Problem areas include transferring the camera/speaker assembly and removing the contact pad from the home-button assembly. Remain calm and do not use too much force. Be prepared to spend some time on those things, otherwise a fairly simple process. Much nicer than the 4/4S, and I hope Apple continues to factor in the ease of screen replacement for all future models.