Ricght click on the layer and select duplicate layer. Then it is exactly placed as it should be. This way you can even copy it to another template.
I often use that to isolate a layer to work on before copying it back to the original image. It's a lazy way when you otherwise should disable a bunch of layers to see that single layer only...
When you do Copy/Paster PS centers the pasted image in the layer. When your pasted image is smaller then the image you past into it gets shifted.
When you somehow must use copy and paste for some reason, then put a pixel in an uppercornder and a lower corner to make PS think the image is full size.